Calculating Velocity Change for Hohmann Transfer Orbit

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Discussion Overview

The discussion revolves around calculating the velocity change required for a Hohmann transfer orbit, specifically transitioning from a circular low Earth orbit to an elliptical orbit with specified altitudes at perigee and apogee. The context is primarily homework-related, focusing on the application of orbital mechanics principles.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents an initial attempt at a solution, including calculations for perigee and apogee distances, velocity in a circular orbit, angular momentum of the elliptical orbit, and the formula for change in velocity (Δv).
  • Another participant questions the correctness of the formulas used in the initial attempt, expressing uncertainty about obtaining the correct answer when substituting values.
  • A third participant emphasizes the need for the original poster to work through the problem independently, indicating that the forum does not serve as a direct homework solution provider.

Areas of Agreement / Disagreement

There is no consensus on the correctness of the formulas used, as one participant seeks validation while others suggest self-reliance in problem-solving. The discussion remains unresolved regarding the accuracy of the calculations presented.

Contextual Notes

Participants have not fully clarified the assumptions underlying their calculations, and there may be dependencies on specific definitions of terms used in orbital mechanics. The discussion does not resolve the mathematical steps involved in the solution.

godhilu
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Homework Statement



Consider an initial circular low Earth orbit act at a 300 km altitude, find the velocity change required to produce an elliptical orbit with a 300 km altitude at perigee and 3000 km altitude at apogee. Given gravitational parameter for Earth μ=398600 kg3/s2, radius of Earth R=6378 km.

The Attempt at a Solution



The perigee and apogee distance from center of Earth is
rp= 6378+300=6678 km
ra= 6378+3000=9678 km

velocity in circular orbit =√(μ/rp)

angular momentum (H) of elliptical orbit is=√{(2μ*rp*ra/(ra+rp)}

velocity at perigee = H/rp

change in velocity (Δv)= [H/rp]- [√(μ/rp)]
 
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And ... ?
 
I want to know the correct solution to the problem.
 
Well, you'll have to figure that out for yourself. As has been stated many times before, PF is not a homework service. If you provide an attempt at a solution, members will provide you with hints and feedback.
 
Oh sorry, may I know the relevant formulas used by me in the attempt are correct or not?? As I am not getting the correct ans by substituting values to those variables.
 

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