A point mass is orbiting a significant mass M lying at the focus of the elleptical orbit having major and minor axes given by 2a and 2b respectively. Let r be the distance between the mass M and the point of major axis. The velocity of the particle can be given as

A point mass is orbiting a significant mass M lying at the focus of th

1.	A point mass is orbiting a significant mass M lying at the focus of the elleptical orbit having major and minor axes given by 2a and 2b respectively. Let r be the distance between the mass M and the point of major axis. The velocity of the particle can be given as
Answer» `(ab)/(2r) sqrt((GM)/(a^(3)))` `(ab)/rsqrt((GM)/(b^(3)))` `(ab)/rsqrt((GM)/(a^(3)))` `(2ab)/rsqrt((GM)/(((a+b)/2)^(2)))` Solution :on stopping, the satellite will fall along the radius `R` of the orbit which can be regarded as a limiting case of an ELLIPSE with semi-major axis `r/2` Using kepler's THIRD LAW `T^(2)propr^(3)` time of fall `(T')/2=T/(2sqrt(8))=(sqrt(2)T)/8`