Gravity assist and increasing orbital energy

  • I
  • Thread starter Physgeek64
  • Start date
  • #1
247
11

Main Question or Discussion Point

Hi, so whilst doing some reading I came across a section that said the most efficient way to increase your orbital energy when in an elliptical orbit is to fire your 'boosters' at perigee. I understand that the satellite is moving faster, but why should this mean that more energy is imparted to the satellite than when fired at apogee, assuming the change in the velocity is the same in both cases? It makes intuitive sense, but not logical sense (or at least not to me)

Many thanks :)
 

Answers and Replies

  • #2
rcgldr
Homework Helper
8,680
514
Consider the kinetic energy increase from Δv => 1/2 m (v + Δv)2 = 1/2 m (v2 + 2 v Δv + Δv2). Note that the energy increase includes the term v Δv, so a higher v with the same Δv means a higher increase in energy.
 
  • #3
247
11
Consider the kinetic energy increase from Δv => 1/2 m (v + Δv)2 = 1/2 m (v2 + 2 v Δv + Δv2). Note that the energy increase includes the term v Δv, so a higher v with the same Δv means a higher increase in energy.
You, my friend, are a star
 
  • #4
berkeman
Mentor
56,811
6,776
Hi, so whilst doing some reading I came across a section that said the most efficient way to increase your orbital energy when in an elliptical orbit is to fire your 'boosters' at perigee. I understand that the satellite is moving faster, but why should this mean that more energy is imparted to the satellite than when fired at apogee, assuming the change in the velocity is the same in both cases? It makes intuitive sense, but not logical sense (or at least not to me)

Many thanks :)
Just curious -- you mention Gravity Assist in your thread title, but not in your post. Should I update the title? Thanks. :smile:
 
  • #5
247
11
Just curious -- you mention Gravity Assist in your thread title, but not in your post. Should I update the title? Thanks. :smile:
Well I assumed this is a form of gravity assist since you need the gravity to speed up your orbit at perigee to then be able to fire your thrusters to increase your orbital energy, more so than at perigee. But if you don't feel the title is fitting, then please feel free :)
 
  • #6
jbriggs444
Science Advisor
Homework Helper
2019 Award
8,274
3,097
Well I assumed this is a form of gravity assist since you need the gravity to speed up your orbit at perigee to then be able to fire your thrusters to increase your orbital energy, more so than at perigee. But if you don't feel the title is fitting, then please feel free :)
What you have described is the Oberth effect. More commonly, "gravity assist" refers to a slingshot maneuver where a craft passes closely behind a planet or moon to gain speed or closely ahead to dump speed. https://en.wikipedia.org/wiki/Gravity_assist
 
  • #7
247
11

Related Threads for: Gravity assist and increasing orbital energy

  • Last Post
Replies
1
Views
2K
Replies
20
Views
7K
Replies
0
Views
4K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
4
Views
1K
Replies
19
Views
1K
Replies
6
Views
8K
  • Last Post
Replies
5
Views
4K
Top