Lambert(Guidance) Equation Derive (Velocity) from equations

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SUMMARY

The discussion focuses on deriving velocity from the Lambert Equation, specifically addressing the Lambert Velocity Problem. Participants emphasize the importance of correctly manipulating equations to achieve the desired result. The suggested approach involves solving equation (2) for λ and then using equation (1) to determine the velocity (v). This method ensures a systematic derivation of the final equation required for the problem.

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  • Understanding of the Lambert Equation and its applications in orbital mechanics.
  • Familiarity with algebraic manipulation of equations.
  • Knowledge of basic kinematics and velocity concepts.
  • Ability to interpret and utilize mathematical equations in physics problems.
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Students and professionals in physics, aerospace engineering, and mathematics who are working on orbital mechanics and require a solid understanding of the Lambert Equation and its applications.

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Homework Statement



http://a1201.hizliresim.com/t/f/1sjw1.gif
http://a1201.hizliresim.com/t/f/1sjxk.gif

Homework Equations

http://d1201.hizliresim.com/t/f/1sjxx.gif

The Attempt at a Solution



http://c1201.hizliresim.com/t/f/1sk69.gif
I think there will be a mistake at solution and I can't find ? Help please ?
How can I derive last equation with using other equations..(This is the Lambert Velocity Problem)
 
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cemfrost said:
How can I derive last equation with using other equations..(This is the Lambert Velocity Problem)
Solve your equation (2) for λ, then use equation (1) to find v.
 
Thanks for help ;)
 

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