Issue 54

Issue 54

Jack’s Astro Corner: Argument of Perigee – Let’s get close with our orbit (Part V)

Jack's Astro Corner: Argument of Perigee – Let’s get close with our orbit (Part V) Over the summer, Jack Anthony will break down each of the six orbital elements required to uniquely identify a specific orbit and satellite in that orbit. This week we examine Argument of Perigee. For those who can't wait the entire summer, please visit Ja…

Jack's Astro Corner: Argument of Perigee – Let’s get close with our orbit (Part V) Over the summer, Jack Anthony will break down each of the six orbital elements required to

uniquely identify a specific orbit and satellite in that orbit. This week we examine Argument

of Perigee. For those who can't wait the entire summer, please visit Jack's “Orbit Element

Dance” on YouTube” and you'll find a 1:02 video featuring Jack in his driveway demonstrating

this highly effective way to learn about the 6 classical orbital elements (COE). Each movement

ties to an important astrodynamics principle. Below is a screen grab from this video. As you

can see, Jack uses the STP method of remembering the 6 COEs. Size, Shape, Tilt, Twist,

Position of Perigee and Position of the Satellite at a particular time. Boogie Down. –

You are HERE

We now move into the P’s of my STP method of learning and remembering the Classical Orbital Elements. Let’s review: Size-Semi Major Axis, Shape-Eccentricity, Tilt-Inclination, and Twist- Right Ascension of the Ascending Node. So, by now you should be most awesome doing the Orbit Element Dance….hope so. They even show my 1-minute dance performance in the USAF Academy core Astro classes…I wonder what they think?

We are now going to learn about the orbital element called the Argument of Perigee. Hey wait a minute, we got an “argument” in the orbital elements? What’s with that? Well, we owe that term as used in astronomy to Geoffrey Chaucer (1340-1400) who wrote The Canterbury Tales. Not many folks know this, but he also wrote The Treatise on the Astrolabe, in which he introduces ways to describe where the planets are. He also used “argument” as an astronomical reference in his poetry. So, the early astronomers used the term “argument” to mean angle or arc in astronomy. Way to go Astro smartie Geoffrey Chaucer!

Once again I am going to use the superb illustration in BMW. Here it is below:

Jack's Astro Corner: Argument of Perigee - Let's get close with our orbit (Part V) - PDF page 11

Jack's Astro Corner: Argument of Perigee (Cont)

You see the RAAN angle depicted using Ω. That orbital element is the angle between the I-axis

of the ECI frame and the Ascending Node vector. Well, we shall now measure an angle NOT in

the fundamental plane of the ECI frame but in the orbit plane. You’ll see the Argument of

Perigee is denoted using ω, which is “small omega.” It is the angle between the Node vector and

a vector pointing to where perigee is. Perigee is the closest point to the Earth of the orbit.

You’ll see the vector is denoted “e”. What’s that you ask? It’s called the “eccentricity vector”

and it points from the center of the Earth toward perigee and has the magnitude of the orbit’s

eccentricity. If you really want to dive into the “where did they get that?” math, find a copy of

Fundamental of Astrodynamics by Bate, Mueller and White (published first in 1971) Section

2.4-1 (page 62) and check out equation 2.4-5.

OK, so let’s see what the Argument of Perigee can tell us about the orbit. As you can see, it

starts with the Node vector and the angle is measured in the orbit motion direction to perigee

direction. So, if ω is zero degrees, that means perigee is at the ascending node. What if ω is 180

degrees? “Let’s ask Ferris Bueller…Bueller, Bueller, Bueller?” “It’s at the descending node” says

Ferris. Right you are Bueller. OK, so what if it’s 90 degrees? That puts perigee at the northern

most point of the orbit. Finally, if it’s 270 degrees, that places perigee at the southern most

point of the orbit. Argument of Perigee helps us locate where perigee is in the orbit plane.

I mentioned the USAF Academy Astro course earlier. All cadets take the course their junior

year. The Astro majors tackle it as early as their doolie year. Did you know they have a YouTube

site with many, many Astro educational videos? They created most of them early in 2020 when

the health crisis was ramping up…ugh. These helped all the cadets virtually take part in a class

and keep up with their learning. They have a super 16-second video that shows the Argument of

Perigee,

On YouTube.com you can find all their videos at “USAFA Astronautics & Space Ops”

Well, the Position of Perigee is the first “P” and is an angle measured from the Node Vector to

the Perigee Vector, which we all know is denoted the Eccentricity Vector. The angle is measured

in the Orbit Plane in the direction of orbit motion. It tells us where the satellite is closest to the

Earth. Next time we’ll meet the second “P”, that is the True Anomaly. What? There’s an

“anomaly” in the Orbit Elements? “Anomalies” are never good in the space business. Well, this is

a good and informative “anomaly.” It is NOT a glitch or something gone wrong. The use of the

term “anomaly” has an explanation that goes way back Egyptian astronomer Ptolemy. More next

time!

Jack's Astro Corner: Argument of Perigee - Let's get close with our orbit (Part V) - PDF page 12

Jack's Astro Corner: Argument of Perigee (Cont)

We are almost to the last classical orbital element, that’s means you need a confidence building

quiz.…a True/False one, let’s see how sharp you are:

Jack’s Quiz (These are all T or F)

1. T/F? Semi-major axis, Mean Motion and Orbit Period are related to each other

2. T/F? Inclination alone does not fully describes an orbit’s plane

3. T/F? In the Orbit Element Dance, the move after “Twist” is a John Travolta class designation of

the Node Vector

4. T/F? The eccentricity of a HEO orbit is always .5

5. T/F? RAAN is measured from the Greenwich meridian to the Ascending Node

6. T/F? If argument of perigee is 270 degrees, the perigee is located at the descending node

7. T/F? The eccentricity vector points to perigee from the center of the Earth and has the

magnitude of the Perigee Altitude

8. T/F? For a LEO, inclination of 63.4 degrees is good if you want to avoid perigee drift

9. T/F? STP is an oil treatment and the way Jack remembers the Classical Orbit Elements

10. T/F? Argument of perigee is a confrontational discussion on how low perigee can go

Answers: 1)T; 2)T; 3)T; 4)F; 5)F; 6)F; 7)F; 8)T; 9)T; 10)F

Jack's Astro Corner: Argument of Perigee - Let's get close with our orbit (Part V) - PDF page 13

Original PDF links: Source 1 · Source 2