r(t) is a position vector. v(t) is r'(t) or the velocity vector, and a(t) is the acceleration vector. u(t) is a unit r(t) vector. Also, F(t)=ma(t)=-GMmu(t)/r^2
h(t)= r(t) x v(t)=r^2 u(t) x u'(t)
show that (v(t)xh(t))'=-GMu'(t)
somehow I keep getting GMu(t) or (a(t)xh(t)) instead...

Question

r(t) is a position vector. v(t) is r'(t) or the velocity vector, and a(t) is the acceleration vector. u(t) is a unit r(t) vector. Also, F(t)=ma(t)=-GMmu(t)/r^2
h(t)= r(t) x v(t)=r^2 u(t) x u'(t)
show that (v(t)xh(t))'=-GMu'(t)
somehow I keep getting GMu(t) or (a(t)xh(t))  instead...

unklerhaukus · Answer

http://openstudy.com/study#/groups/Physics

anonymous · Answer

unfortunately, this is a maths question. lol but I'll try there. thanks :)

unklerhaukus · Answer

this is a physics question