Artificial 57081

Determine the average speed and orbit of the Earth's first artificial satellite. Its distance from the Earth's surface in the perigee was 226 km, and in the apogee, 947 km.

Correct answer:

v =  13321.1513 m/s
T =  5.0575 min

Step-by-step explanation:

a=226 km b=976 km  o=f(a,b) o=4042.29 km O=π (a+b)=3.1416 (226+976)3776.1944 km o2=o m=o 1000  m=4042.29 1000  m=4042290 m  b2=b m=b 1000  m=976 1000  m=976000 m μ=3.986004418 1014=3.9860044181014 m3/s2  T1=2π b23/μ=2 3.1416 9760003/3.9860044181014303.449 s  v=o2/T1=4042290/303.449=13321.1513 m/s=1.332104 m/s
T=T1 min=T1:60  min=303.449:60  min=5.057 min=5.0575 min

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