Are these Space Missions notes free?

Yes. The full 4-page Space Missions sheet is free inside CapCompass, which runs in your browser with no account needed.

What does the Space Missions revision sheet cover?

Artificial satellite, Orbital velocity, Why a satellite does not fall, The relations that matter, orbital velocity at radius r from the centre, with the height h above the surface, escape velocity, to leave altogether, so escape velocity relates to orbital, period of a circular orbit, Geostationary orbit, Polar orbit, The orbits, and what each is used for.

Is this for Class 10 Maharashtra SSC Science?

Yes, it is written for the Maharashtra SSC Science syllabus.

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Space Missions — Class 10 Maharashtra SSC Science revision notes

A 4-page visual revision sheet for Space Missions, written for Class 10 Maharashtra SSC Science. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

Space Missions revision notes, page 1 of 4 — A preview of page 1 — all 4 pages open full size in the app.

Space Missions in one look

why a satellite stays up, the orbits worth using, and what launch vehicles have to overcome

Why a satellite does not fall

a satellite is in fact falling all the time, pulled by gravity exactly as a dropped stone is
the difference is its sideways speed: it moves forward fast enough that the ground curves away beneath it as it falls
so it keeps missing the Earth, and that continuous missing is the orbit
the gravitational pull supplies the centripetal force needed to keep it moving in a curve
the orbital velocity is the speed at which those two exactly balance, v_o = √GM/r
a higher orbit needs a lower speed but a longer period, which is Kepler's third law seen from close up

The relations that matter

orbital velocity at radius r from the centre v_o = √GM/r
with the height h above the surface r = R + h
escape velocity, to leave altogether v_e = √2GM/R
so escape velocity relates to orbital v_e = √2 v_o
period of a circular orbit T = 2π r/v_o

The orbits, and what each is used for

a geostationary orbit sits about 36000 km above the equator, where the period is exactly 24 hours
so the satellite keeps pace with the Earth's rotation and appears fixed over one spot on the ground
that is what allows a dish antenna to be aimed once and left, which is why communication and television satellites use it
a polar orbit passes over the poles at a few hundred kilometres, with a period of about 100 minutes
because the Earth turns beneath it, a polar satellite eventually covers the whole surface, which suits weather watching, mapping and remote sensing
so the choice is between staying over one place and seeing everywhere in turn

Page 1 of 4. The full sheet, all 4 pages, opens free in the app.

What this Space Missions sheet covers

Artificial satellite
Orbital velocity
Why a satellite does not fall
The relations that matter
orbital velocity at radius r from the centre
with the height h above the surface
escape velocity, to leave altogether
so escape velocity relates to orbital
period of a circular orbit
Geostationary orbit
Polar orbit
The orbits, and what each is used for
The two working orbits
Geostationary
Polar
Launch vehicle
Multistage rocket
Launch vehicles
What satellites are used for
Indian space milestones
Space debris
Terms in this chapter
Traps that cost marks
Tricks that save time

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