Earth gravitational potential

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In the Cook's "Perturbations of satellite orbits by tesseral harmonics" i've found the following formula(13, page 799) for potential:
$$U = fracmurleft1-sumlimits_n=2^inftyleft(fracRrright)^nleft[J_nP_n(sinphi)-sum_s=1^nJ_n,sP_n^ssinphicoss(lambda - lambda_n,s)right] right$$
What values are taken as $lambda_n,s$ and $J_n,s$? There were some words about it in the book, but not the exact values.




perturbation-theory spherical-harmonics




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    In the Cook's "Perturbations of satellite orbits by tesseral harmonics" i've found the following formula(13, page 799) for potential:
    $$U = fracmurleft1-sumlimits_n=2^inftyleft(fracRrright)^nleft[J_nP_n(sinphi)-sum_s=1^nJ_n,sP_n^ssinphicoss(lambda - lambda_n,s)right] right$$
    What values are taken as $lambda_n,s$ and $J_n,s$? There were some words about it in the book, but not the exact values.




    perturbation-theory spherical-harmonics




    share|cite|improve this question





















      up vote
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      down vote

      favorite









      up vote
      0
      down vote

      favorite











      In the Cook's "Perturbations of satellite orbits by tesseral harmonics" i've found the following formula(13, page 799) for potential:
      $$U = fracmurleft1-sumlimits_n=2^inftyleft(fracRrright)^nleft[J_nP_n(sinphi)-sum_s=1^nJ_n,sP_n^ssinphicoss(lambda - lambda_n,s)right] right$$
      What values are taken as $lambda_n,s$ and $J_n,s$? There were some words about it in the book, but not the exact values.




      perturbation-theory spherical-harmonics




      share|cite|improve this question











      In the Cook's "Perturbations of satellite orbits by tesseral harmonics" i've found the following formula(13, page 799) for potential:
      $$U = fracmurleft1-sumlimits_n=2^inftyleft(fracRrright)^nleft[J_nP_n(sinphi)-sum_s=1^nJ_n,sP_n^ssinphicoss(lambda - lambda_n,s)right] right$$
      What values are taken as $lambda_n,s$ and $J_n,s$? There were some words about it in the book, but not the exact values.





      perturbation-theory spherical-harmonics





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      share|cite|improve this question




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      asked Jul 23 at 11:35









      Alex Johnson

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