Ephemeris: 07/22/2024 – Happy Pi Approximation Day

July 22, 2024 Comments off

This is Bob Moler with Ephemeris for Pi Approximation Day*, Monday, July 22nd. Today the Sun will be up for 15 hours exactly, setting at 9:19, and it will rise tomorrow at 6:19. The Moon, 1 day past full, will rise at 10:37 this evening.

The first Pi day of the year for mathematics junkies was March 14th utilizing the three most significant digits of the mathematical value π, the ratio of the circumference of a circle to its diameter, written as 3.14. Today is the second version of π written as the fraction 22/7. We don’t write our date that way, we write it as 7/22. In other parts of the world it is written as 22/7. So whichever way you slice it, it’s a pi day and in Northern Michigan I would imagine it’s a cherry pi. In the sky today the planet Mercury is at its greatest elongation or separation east of the Sun in the western sky. It is preceding the Sun heading southward against the stars and is not easily visible after sunset.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

* In the radio program I called it Pi Day #2. I have since found out that today has a special name.

Addendum

Illustrating the value of π with 29 plastic straw sections: seven across the diameter and 22 around the circumference. The source for this illustration is a website called Toys from Trash (http://arvindguptatoys.com/)
Illustrating the value of π with 29 plastic straw sections: seven across the diameter and 22 around the circumference. The source for this illustration is a website called Toys from Trash (http://arvindguptatoys.com/) based in India showing many illustrations of toys and things related to STEM, including astronomy, that can be made. I highly recommend it.

Ephemeris: 07/19/2024 – SpaceX’s Falcon 9 has the first failure in many years

July 19, 2024 Comments off

This is Ephemeris for Friday, July 19th. Today the Sun will be up for 15 hours and 6 minutes, setting at 9:21, and it will rise tomorrow at 6:16. The Moon, 2 days before full, will set at 4:45 tomorrow morning.

A week ago yesterday a SpaceX Falcon 9 rocket was unable to put a batch of 20 Starlink satellites into the proper orbit due to a failure in the second stage. The problem seems to be an oxygen leak that prevented a second burn of the engine to circularize the orbit leaving the orbit perigee or low point to be 135 kilometers high, which though in orbit, that orbit would soon decay, having the satellites burn up on reentry after a few orbits. The Falcon 9 fleet has been grounded pending an investigation. However, there are two immediate planned flights of the Falcon 9 utilizing the Crew Dragon, the first is at the end of July which is a private mission called Polaris Dawn and in August the Crew 9 transfer to the International Space Station. It remains to be seen how long those missions will be postponed.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

A frame of the video from one of the two cameras at the base of the second stage of the Falcon 9 rocket showing the build up of ice near the engine
This is a frame of the video from one of the two cameras at the base of the second stage of the Falcon 9 rocket showing the build up of ice near the engine and the destruction of one of the pieces of ice in the exhaust to the lower left of the engine bell. The Sun is right behind the plume of gas from that piece, really lighting it up . Credit SpaceX via space.com.

Ephemeris: 07/18/2024 The brightest spot on the Moon

July 18, 2024 Comments off

This is Ephemeris for Thursday, July 18th. Today the Sun will be up for 15 hours and 7 minutes, setting at 9:22, and it will rise tomorrow at 6:15. The Moon, 3 days before full, will set at 3:40 tomorrow morning.

The moon tonight is bright. The sunrise line or terminator on the moon is crossing the large gray plain called Oceanus Procellarum, the largest of the moon’s seas. These seas were figments of the first telescopic observer’s imagination. They are really huge impact basins into which interior lava flowed. On the left side of the Moon is a bright spot in the gray expanse of Oceanus Procellarum visible in binoculars. In a telescope it is a crater called Aristarchus. It is a fairly new crater in lunar terms, probably less than a billion years old. As a rule the brighter the crater the newer it is. Aristarchus is the brightest spot on the Moon. Over the years visual astronomers have seen hazes and bright spots from time to time in and near Aristarchus.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

The Moon as it might appear at 11 PM tonight
The Moon as it might appear at 11 PM tonight, July 18th 2024. Annotated are Oceanus Procellarum and the crater Aristarchus. Created using Stellarium, LibreOffice Draw, and GIMP.
Aristarchus close up
The crater Aristarchus in a telescope from Earth. To the left of Aristarchus is Vallis Schroteri or Schroter’s Valley ending with the crater Herodotus, which is nicknamed the Cobra Head. They are visible in small telescopes. Credit: Lunar and Planetary Institute.
Oblique view of the crater Aristarchus from a lunar orbiting satellite
Oblique view of the crater Aristarchus from a lunar orbiting satellite. Credit: NASA/GSFC/Arizona State University.

Ephemeris: 07/17/2024 – Where are the naked-eye planets this week?

July 17, 2024 Comments off

This is Ephemeris for Wednesday, July 17th. Today the Sun will be up for 15 hours and 9 minutes, setting at 9:23, and it will rise tomorrow at 6:14. The Moon, halfway from first quarter to full, will set at 2:49 tomorrow morning.

Let’s take our weekly look at the whereabouts of the naked-eye planets. Venus is still too close to the direction of the Sun to be easily seen, it will set at 10:04 pm in the west-northwest. It is below and right of Mercury. That elusive planet just might be seen very low in the west-northwest by 10 pm or so. By 5:30 tomorrow morning, or about 45 minutes before sunrise, Saturn will be in the south, Mars will be lower in the east, and Jupiter will below it in the east-northeast. Mars is closing in on Jupiter and will pass it on August 14th. Saturn may look disappointing in telescopes this year since the rings are nearly edge on and appear almost as a line through the planet. It will rise before midnight tonight, at 11:45 pm.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

Venus and Mercury as they might appear about 30 minutes after sunset
Venus and Mercury as they might appear about 9:53 PM or about 30 minutes after sunset over a Lake Michigan horizon. Spotting Venus may be impossible. Mercury might be glimpsed in binoculars even though this is not a favorable elongation. Evening appearances of Mercury in summer are difficult to observe. Created using Stellarium.
The bright star by the Moon tonight is Antares, the red giant star in the heart of Scorpius the scorpion.
The bright star by the Moon tonight is Antares, the red giant star in the heart of Scorpius the scorpion.
The Moon as it might appear through a small telescope tonight
The Moon as it might appear through a small telescope tonight, July 17th 2024. Selected features are labeled. Created using stellarium, LibreOffice draw, and GIMP.
A panorama of the morning planets about 45 minutes before sunrise.
A panorama of the morning planets at 5:30 AM seen from the Grand Traverse Area or about 45 minutes before sunrise. Along with the planets the bright stars of autumn and winter are rising: Fomalhaut below Saturn and Aldebaran below and right of Jupiter Click or tap on the image to enlarge it. Created using Stellarium.
Telescopic Saturn and Jupiter
Telescopic Saturn and Jupiter (north up) as they would be seen in a small telescope at 5:30 AM July 18th 2024 with the same magnification. Apparent diameters: Saturn 18.4″, its rings 42.9″ tilted only 2 degrees from being edge on to us; Mars, too small to be represented here, is 5.6″; Jupiter 34.5″. Note the ” means seconds of arc, or 1/3600th of a degree. Click or tap on the image to enlarge it to show some of Saturn’s faint moons in line with the rings. Created using Cartes du Ciel (Sky Charts).
The naked-eye planets and the Moon at sunset and sunrise on a single night
The naked-eye planets and the Moon at sunset and sunrise on a single night, starting with sunset on the right on July 17, 2024. The night ends on the left with sunrise on the 18th. Click or tap on the image to enlarge it. Created using my LookingUp app and GIMP.
An ephemeris of the Sun Moon and naked eye planet positions for today and tomorrow
This is an ephemeris of the Sun Moon and naked eye planet positions for today and tomorrow, July 17th and 18th 2024. Some of the columns are self-explanatory, others not. The transit column is the time that the body crosses the meridian and is due south. Elong, for elongation, is the angle between the Sun and that body. RA is right ascension, which is the object’s east-west position on the celestial sphere. Dec is declination which is the north-south position of the object on the celestial sphere. The time of the positions is 8 pm EDT, (0 hr UT the next date). R is the distance of that object from the Sun in astronomical units. An astronomical unit is about 93 million miles or 150 million kilometers. And Delta is the distance of that object from the Earth, also in astronomical units. I omit the ‘m’ in am and pm for compactness. The data was generated using my LookingUp for DOS app and displayed by my Ephemeris Helper app.

Ephemeris: 07/16/2024 – Find the rabbit in the Moon

July 16, 2024 Comments off

This is Ephemeris for Tuesday, July 16th. Today the Sun will be up for 15 hours and 11 minutes, setting at 9:24, and it will rise tomorrow at 6:13. The Moon, 3 days past first quarter, will set at 2:10 tomorrow morning.

The Moon tonight is a gibbous phase which is between first quarter and full. The sunrise line we call the terminator is moving across the lunar sea Oceanus Procellarum, or Ocean of Storms. As I look at the Moon more and more, I’m beginning to appreciate what the Chinese saw in the pattern of the lunar seas, that of a rabbit. A very particular rabbit named Yutu, belonging to the moon goddess Ching’e. He’s curled up head down towards the right. His two rabbit ears, his head and part of his body is displayed in the five connected seas of Fecunditatis (Fruitfulness), Nectaris (Nectar), Tranquillitatis (Tranquility), Serenitatis (Serenity), and Imbrium (Showers). The rest of his body is slowly being revealed by the advancing terminator to the left. He is shown with a mortar, the sea Nubium (Clouds) and pestle pounding out medicine according to Chinese mythology.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

The Chinese lunar landers have been named Chang’e, and the rovers named Yutu.

The visible lunar seas tonight that depict Yutu the rabbit
The visible lunar seas tonight, July 16th 2024, that depict Yutu the rabbit. Only Oceanus Procellarum is missing, which depict his feet. It’s just coming into sunlight on the left side of the Moon. Created using Stellarium, LibreOffice Draw, and GIMP.
The Jade Rabbit drawn on a full moon
The Jade Rabbit drawn on a full moon rotated to the approximate orientation of the of tonight’s Moon. Based on an image from Wikipedia entry for “Moon Rabbit”

Ephemeris: 07/15/2024 – When planets go rogue

July 15, 2024 Comments off

This is Ephemeris for Monday, July 15th. Today the Sun will be up for 15 hours and 13 minutes, setting at 9:25, and it will rise tomorrow at 6:12. The Moon, 2 days past first quarter, will set at 1:40 tomorrow morning.

We all know that there are stars and there are planets and planets orbit stars, right? Well maybe not. Astronomers have recently discovered planets that don’t orbit stars. They float free in interstellar space. They are called rogue planets. There seems to be two ways to produce a rogue planet. The first way is to have the planet ejected from a star system through gravitational interaction with other planets especially big ones like Jupiter. Also, it appears that rogue planets can form like stars, and have protoplanetary discs. Or proto-moon disks? They can be discovered by the infrared light they give off, or by gravitational microlensing of a star that passes directly behind them.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

This is a NASA "travel poster" for exoplanet PSO J318.5-22
This is a NASA “travel poster” for exoplanet PSO J318.5-22. It is a rogue planet seven times the mass of Jupiter and shines a dull red because it’s only 12 million years old and still hot from the heat of formation. It is considered a brown dwarf, still a planet but with not enough mass to become a star. So the night time revelers shown in this travel poster would be doing so on the space stations shown orbiting it.

Ephemeris: 07/12/2024 – Star Party tomorrow night at Sleeping Bear Dunes National Lakeshore

July 12, 2024 Comments off

This is Bob Moler with Ephemeris for Friday, July 12th. Today the Sun will be up for 15 hours and 17 minutes, setting at 9:27, and it will rise tomorrow at 6:10. The Moon, 1 day before first quarter, will set at 12:42 tomorrow morning.

Tomorrow night, Saturday, July 13th, the Sleeping Bear Dunes National Lakeshore will team up with the Grand Traverse Astronomical Society to host a star party at the Dune Climb from 9 to 11 PM or later. It won’t be a star party only, because the featured attraction will be the first quarter Moon. To my mind, this is the best time to view the Moon, showing its craters with deep shadows near the terminator or sunrise line which crosses the Moon slowly over the month. There are no planets out in the evening, but we do have some interesting stars to look at besides the Moon. And the bright International Space Station will be seen moving from west to northeast, passing through the bowl of the Big Dipper around 10:28 pm.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

Annotated Moon Chart
The Moon it would appear in telescopes tomorrow night at the star party. Different telescopes will show the Moon in different orientations, either right side up or upside down or a mirror image. This is a right side up image. Created using Stellarium, LibreOffice Draw, and GIMP.

Translations of some lunar feature names according to Virtual Moon Atlas

Mare Crisium – Sea of Crises
Mare Fecunditatis – Sea of Fruitfulness
Mare Frigoris – Sea of Cold
Mare Imbrium – Sea of Showers
Mare Nectaris – Sea of Nectar
Mare Serenitatis – Sea of Serenity
Mare Tranquillitatis – Sea of Tranquility
Mare Vaporum – Sea of Vapors
Montes Alpes – Alps Mountains
Montes Apenninus – Apennines Mountains
Craters are named for persons, real or otherwise.

Ephemeris: 07/11/2024 – Low energy routes to get to the Moon

July 11, 2024 Comments off

This is Ephemeris for Thursday, July 11th. Today the Sun will be up for 15 hours and 19 minutes, setting at 9:27, and it will rise tomorrow at 6:09. The Moon, 2 days before first quarter, will set at 12:26 tomorrow morning.

Back in the Apollo days when we sent people to the Moon, the trip out was only three days. The latest generation of unmanned probes to the Moon sent by the United States and other countries can take days, weeks, or even months to reach the Moon, so what’s going on? These are robot probes, needing little power. Humans however are high maintenance. Even when they’re doing nothing they are breathing, eating, and using resources. So when humans are aboard you have got to get there fast. Also, many of these probes are CubeSats, no bigger than a breadbox*. They must get into orbit of the Moon with very little thrust other than that of the rocket that launched them. They can go out as far as a million miles away before falling back to the Moon.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

* OK, I’m an old guy, the modern size comparison would be a microwave.

Addendum

An example of a low energy trajectory to the Moon
Here’s an example of a low energy trajectory to the Moon taken by the two Grail spacecraft back in 2011. The two spacecraft were launched on the same rocket, a ULA Delta II vehicle and were sent out in the direction of the Sun and maneuvered to separate themselves so that they would arrive at the Moon a day apart. This was done by various trajectory correction maneuvers. The spacecraft headed out toward the Earth Liberation Point 1, which is also called the Sun-Earth Lagrangian point 1 or L1. This is a way to get to the Moon with a minimum of additional energy to drop into orbit around it. It took the spacecraft about 3 1/2 months to arrive at the Moon. The word open refers to the trajectory at the opening of the several day long launch window. Credit NASA/JPL.

Ephemeris: 07/10/2024 – Where are the naked-eye planets this week?

July 10, 2024 Comments off

This is Ephemeris for Wednesday, July 10th. Today the Sun will be up for 15 hours and 20 minutes, setting at 9:28, and it will rise tomorrow at 6:08. The Moon, 3 days before first quarter, will set at 12:10 tomorrow morning.

Let’s find out where the naked-eye planets have wandered off to this week. Venus is too close to the direction of the Sun to be easily seen, it will set at 10:07 pm in the west-northwest below and right of Mercury. That elusive planet just might be seen very low in the west-northwest by 10 pm or so. By 5:15 tomorrow morning, or about 50 minutes before sunrise, Saturn will be in the south, Mars will be lower in the east, and Jupiter will below it in the east-northeast. Mars is closing in on Jupiter and will pass it on August 14th. Saturn may look disappointing in telescopes this year since rings are nearly edge on and appear almost as a line through the planet. It will rise at 12:09 am, Mars at 2:34 am, and Jupiter at 3:28 am.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

This is an ephemeris of the Sun Moon and naked eye planet positions for today and tomorrow, July 3rd and 4th 2024. Some of the columns are self-explanatory, others not. The transit column is the time that the body crosses the meridian and is due south. Elong, for elongation, is the angle between the Sun and that body. RA is right ascension, which is the object’s east-west position on the celestial sphere. Dec is declination which is the north-south position of the object on the celestial sphere. The time of the positions is 8 pm EDT, (0 hr UT the next date). R is the distance of that object from the Sun in astronomical units. An astronomical unit is about 93 million miles or 150 million kilometers. And Delta is the distance of that object from the Earth, also in astronomical units. I omit the ‘m’ in am and pm for compactness. The data was generated using my LookingUp for DOS app and displayed by my Ephemeris Helper app.
Venus, Mercury and the Moon as it might appear about 10 PM or about 50 minutes after sunset over a Lake Michigan horizon. Spotting Venus may be impossible. Mercury might be glimpsed even though this is not a favorable elongation. Evening appearances of Mercury in summer are difficult to observe. The Moon is shown twice its normal size to show its phase. Created using Stellarium.
The Moon as it might appear through a small telescope tonight
The Moon as it might appear through a small telescope tonight, July 10th 2024. Selected features are labeled. Created using stellarium, LibreOffice draw, and GIMP.
A panorama of the morning planets at 5:15 AM
A panorama of the morning planets at 5:15 AM seen from the Grand Traverse Area or about 53 minutes before sunrise. Along with the planets the bright stars of autumn and winter are rising. Click or tap on the image to enlarge it. Created using Stellarium.
Telescopic Saturn and Jupiter
Telescopic Saturn and Jupiter (north up) as they would be seen in a small telescope at 5 AM July 11th 2024 with the same magnification. Apparent diameters: Saturn 18.2″, its rings 42.4″ tilted only 2 degrees from being edge on to us; Mars, too small to be represented here, is 5.5″; Jupiter 34.1″. Note the ” means seconds of arc, or 1/3600th of a degree. Click or tap on the image to enlarge it to show some of Saturn’s faint moons in line with the rings. Created using Cartes du Ciel (Sky Charts).
The naked-eye planets and the Moon at sunset and sunrise on a single night
The naked-eye planets and the Moon at sunset and sunrise on a single night, starting with sunset on the right on July 10, 2024. The night ends on the left with sunrise on the 11th. Click or tap on the image to enlarge it. Created using my LookingUp app and GIMP.
Ephemeris of the Sun Moon and naked eye planet positions for today and tomorrow
This is an ephemeris of the Sun Moon and naked eye planet positions for today and tomorrow, July 10th and 11th 2024. Some of the columns are self-explanatory, others not. The transit column is the time that the body crosses the meridian and is due south. Elong, for elongation, is the angle between the Sun and that body. RA is right ascension, which is the object’s east-west position on the celestial sphere. Dec is declination which is the north-south position of the object on the celestial sphere. The time of the positions is 8 pm EDT, (0 hr UT the next date). R is the distance of that object from the Sun in astronomical units. An astronomical unit is about 93 million miles or 150 million kilometers. And Delta is the distance of that object from the Earth, also in astronomical units. I omit the ‘m’ in am and pm for compactness. The data was generated using my LookingUp for DOS app and displayed by my Ephemeris Helper app.

Ephemeris: 07/09/2024 – The Moon Tonight – Mare Crisium

July 9, 2024 Comments off

This is Ephemeris for Tuesday, July 9th. Today the Sun will be up for 15 hours and 22 minutes, setting at 9:29, and it will rise tomorrow at 6:07. The Moon, halfway from new to first quarter, will set at 11:53 this evening.

Tonight’s four-day old crescent Moon will be seen in the west at about 10:30 PM, though it’s visible much earlier than that. Binoculars will show a small gray round area near the right edge of the Moon which is seen in the full moon as the eye of the Man in the Moon. The feature is called Mare Crisium or the Sea of Crises. And is an Oval 385 by 354 miles in extent. However, it is elongated east to west rather than what it appears to be, north to south. That is due to foreshortening because it is near the limb of the Moon and thus curved away from us. So we are looking at it at an oblique angle. Mare Crisium is thought to be the result of an impact of an asteroid that occurred nearly 4 billion years ago during the Late Heavy Bombardment.

The astronomical event times given are for the Traverse City/Interlochen area of Michigan (EDT, UT–4 hours). They may be different for your location.

Addendum

The four day old Moon
The four day old Moon as it might be seen in binoculars or small telescope tonight, July 9th 2024. I’m highlighting Mare Crisium that lies near the limb of the Moon from Earth’s vantage point. Compare it with the images below taken from the Apollo 11 spacecraft and another one looking at the Moon from Earth’s side at the same phase as the Apollo 11 photograph. Created using Stellarium, LibreOffice Draw, and GIMP.
Mare Crisium from the side of the Moon taken by the Apollo 11 crew
Mare Crisium from the side of the Moon taken by the Apollo 11 crew as they departed the Moon, showing its true shape. Credit: NASA/Apollo 11 Crew.
The nearly first quarter Moon as seen from the Earth
The nearly first quarter Moon as seen from the Earth at the same scale and phase as the Apollo picture above. See if you can match the maria or seas to the Apollo 11 picture . Created using stellarium.