The sensation of weightlessness is common to an astronaut in a spaceship orbiting Earth and to a person aboard a freely falling elevator. This paper presents a detailed treatment of this commonality by showing that a spaceship orbiting Earth is in permanent free fall toward the planet, appropriate for use in the introductory classroom.

1.
Charles W.
Misner
,
Kip S.
Thorne
, and
John A.
Wheeler
,
Gravitation
(
W. H. Freeman
,
New York
), p.
13
.
2.
Herbert
Goldstein
,
Classical Mechanics
, 2nd ed. (
Addison-Wesley
,
1980
), p.
2
.
3.
See
Paul
Hewitt
, “
Nellie’s satellite speed
,”
Phys. Teach.
56
,
277
(
2018
); and
Carl
Mungan
, “
Orbital speed of a satellite due to gravity
,”
Phys. Teach.
56
,
339
(
2018
) for a cartoon treatment and further discussion of this connection.
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