Recent content by AT36

Hi, I have attached a paper. I am trying to derive the slant range rate formula. Under the topic 'Calculation of the Observable', range 'p' equation is clear but the next step, they applied some expansion of powers which I am not able to understand.

I have attached two images. Could you explain me how the result was obtained by expanding the powers?

Suppose I have to determine position and velocity of spacecraft from Range and Doppler measurements. Does range measurement only give position estimate and doppler only velocity estimate? Or range can give both position and velocity?How are they related?