4 Astronomy Problems: ASSISTANCE NEEDED PLEASE

  • Context: Undergrad 
  • Thread starter Thread starter astronomystudent
  • Start date Start date
  • Tags Tags
    Assistance Astronomy
Click For Summary
SUMMARY

This discussion addresses four astronomy problems involving a comet and asteroids, focusing on calculating perihelion and aphelion distances, orbital periods, and brightness using the inverse square law. The comet has an eccentricity of 0.98 and a semimajor axis of 12 AU, yielding a perihelion of 0.24 AU and an aphelion of 23.76 AU, with a period of 41.57 years. Velocity calculations indicate that the comet travels faster at perihelion (85.61 km/s) than at aphelion (0.865 km/s). For the asteroids in resonance with Jupiter and Mars, the calculated semimajor axes are 2.82 AU and 2.81 AU, respectively.

PREREQUISITES
  • Understanding of orbital mechanics, specifically perihelion and aphelion calculations
  • Familiarity with Kepler's laws of planetary motion
  • Knowledge of the inverse square law for brightness calculations
  • Basic proficiency in unit conversions between days and years
NEXT STEPS
  • Study Kepler's Third Law to deepen understanding of the relationship between orbital period and semimajor axis
  • Learn about the inverse square law in detail to apply it to various astronomical scenarios
  • Explore the concept of orbital resonance and its implications in celestial mechanics
  • Investigate the methods for calculating brightness variations of celestial bodies as they approach the Sun
USEFUL FOR

Astronomy students, educators, and anyone interested in understanding the dynamics of celestial bodies, particularly in relation to orbital mechanics and brightness calculations.

  • #31
RedScout said:
Is this math typical to astronomy or is it more complicated? I'm wondering because I'm considering astronomy as a future career.

I think this is typical of an intro level astronomy course in college (or high school). Graduate students would be expected to quickly do this sort of calculation in their head (or at least obtain an order of magnitude).

For an observational research paper, you'll be expected to do calculations roughly at the level of the ones I do here:

https://www.physicsforums.com/showthread.php?t=102126"

Even more mathematical sophistication would be expected of theorists.
 
Last edited by a moderator:
Astronomy news on Phys.org
  • #32
Thanks for the help and information. Would it be safe to say it is advanced algebra on an astronomy scale? I'm in 10th grade (in America), what classes would you recommend to prepare for college? The school that I go to doesn't offer an introductory to Astronomy class. Although, it did teach about Astronomy in a physical science class I had last year but we didn't reach it.
 
  • #33
RedScout said:
Thanks for the help and information. Would it be safe to say it is advanced algebra on an astronomy scale?

No, you definitely need calculus. Look at some of my later posts in the thread. From what I remember, the major I took in astronomy required the following undergrad math classes:

- Calc I and II
- Vector Calc
- Linear Algebra
- Differential Equations

If you want to do any general relativity, you'll need to learn tensor manipulation and basic differential geometry (sometimes done in the GR course itself). Hardcore theorists would also benefit from complex analysis and group theory.

By the time you graduate high school, you should, at the least, have taken algebra II and classical mechanics (intro physics). Preferably, you would have some exposure to calculus and electromagnetism as well.
 
Last edited:
  • #34
I'll need to work hard it seems.

I've been reading general astronomy books to try and get a good understanding of everything as a whole before I start learning more specific things. Hopefully it will come to good use in the future.

Thanks for your help again.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 8 ·
Replies
8
Views
18K
  • · Replies 3 ·
Replies
3
Views
5K
Replies
11
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K