1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A satellite is in an ellipitcal orbit around the earth with aphelion of 5R and perihelion 3R where R is the radius of earth. At the instant it is passing through the apogee, by what amount its speed should be increased in order to make its orbit circular? (M = mass of earth)

A
GMR[335]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
GMR[2320]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
GMR[2220]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
GMR[225]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B √GMR[2−√3√20]V51R=V23R 5V1=3V2⇒V2=5V13 −GMm5R+12mv21=GMm3R+12m⋅259V21 ⇒12V21[259−1]=GMR[13−15]=GMR(5−315) V1=√2GM15r×2×916=√3GM20R V2c5R=GM25R2 ⇒VC=√GM5R ΔV=Vc−V1=√GMR[1√5−√320] =√GMR[2−√3√20]

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Variation in g
PHYSICS
Watch in App
Join BYJU'S Learning Program