We obtain a simple equation that accurately describes the eccentricity that an asteroid or comet impact can cause in the Earth’s nearly circular orbit about the Sun. It is found that the present eccentricity of the Earth could not have been caused or significantly altered by an asteroid or comet impact in the near past, nor could it be significantly altered by the impact of any asteroid or comet known to astronomers today.

1.
D.
Fernie
, “
The Tunguska event
,”
Am. Sci.
81
,
412
415
(
1993
).
2.
C. F.
Chyba
,
P. J.
Thomas
, and
K. J.
Zahnle
, “
The 1908 Tunguska explosion: Atmospheric disruption of a stony asteroid
,”
Nature (London)
361
,
40
44
(
1993
).
3.
“Number of near-Earth objects” 〈neo.jpl.nasa.gov/neo/number.html〉
4.
G.
D’Abramo
,
A. W.
Harris
,
A.
Boattini
,
S. C.
Werner
, and
G. B.
Valsecchi
, “
A simple probabilistic model to estimate the population of near-Earth asteroids
,”
Icarus
153
,
214
217
(
2001
).
5.
W. F.
Bottke
,
R.
Jedicke
,
A.
Morbidelli
,
J.-M.
Petit
, and
B.
Gladman
, “
Understanding the distribution of near-Earth asteroids
,”
Science
288
,
2190
2194
(
2000
).
6.
J. S.
Stuart
, “
A near-Earth asteroid population estimate from the LINEAR survey
,”
Science
294
,
1691
1693
(
2001
).
7.
D. Steel, Rogue Asteroids and Doomsday Comets (Wiley, New York, 1995), pp. 29–30.
8.
“Solar system bodies: Asteroids” 〈solarsystem.nasa.gov/features/planets/asteroids/asteroids.html〉.
9.
J. Wm.
Parker
,
S. A.
Stern
,
P. C.
Thomas
,
M. C.
Festou
,
W. J.
Merline
,
E. F.
Young
,
R. P.
Binzel
, and
L. A.
Lebofsky
, “
Analysis of the first disk-resolved images of Ceres from ultraviolet observations with the Hubble Space Telescope
,”
Astron. J.
123
,
549
557
(
2002
).
10.
“Asteroid fact sheet” 〈nssdc.gsfc.nasa.gov/planetary/factsheet/asteroidfact.html〉.
11.
J.
Morgan
,
M.
Warner
, and the Chicxulub Working Group,
J.
Brittan
,
R.
Buffler
,
A.
Camargo
,
G.
Christeson
,
P.
Denton
,
A.
Hildebrand
,
R.
Hobbs
,
H.
Macintyre
,
G.
Mackenzie
,
P.
Maguire
,
L.
Marin
,
Y.
Nakamura
,
M.
Pilkington
,
V.
Sharpton
,
D.
Snyder
,
G.
Suarez
, and
A.
Trejo
, “
Size and morphology of the Chicxulub impact crater
,”
Nature (London)
390
,
472
476
(
1997
).
12.
W.
Alvarez
and
F.
Asaro
, “
An extraterrestrial impact
,”
Sci. Am.
263
(
4
),
78
84
(
1990
).
13.
L. W.
Alvarez
, “
Mass extinctions caused by large bolide impacts
,”
Phys. Today
40
(
7
),
24
33
(
1987
).
14.
“Asteroids” 〈nssdc.gsfc.nasa.gov/planetary/text/asteroids.txt〉
15.
“Comets” 〈www.seds.org/billa/tnp/comets.html〉
16.
W. Alvarez, T. Rex and the Crater of Doom (Princeton University Press, Princeton, NJ, 1997), p. 147.
17.
D.
Metz
and
A.
Stinner
, “
Deep impact: The physics of asteroid/earth collisions
,”
Phys. Teach.
40
,
487
492
(
2002
).
18.
Z.
Sekanina
, “
The Tunguska event: No cometary signature in evidence
,”
Astron. J.
88
,
1382
1414
(
1983
).
19.
“Small asteroid impacts less than expected” 〈sse.jpl.nasa.gov/whatsnew/pr/021007B.html〉
20.
P.
Brown
,
R. E.
Spalding
,
D. O.
Revelle
,
E.
Tagliaferri
, and
S. P.
Worden
, “
The flux of small near-Earth objects colliding with the Earth
,”
Nature (London)
420
,
294
296
(
2002
).
21.
G. W.
Wetherill
, “
The formation of the Earth from planetesimals
,”
Sci. Am.
244
(
6
),
162
174
(
1981
).
22.
A.
Berger
and
M. F.
Loutre
, “Insolation values for the climate of the last 10 million years,” Quat. Sci. Rev. 10, 297–317 (1991).
23.
J. B. Marion and S. T. Thornton, Classical Dynamics of Particles and Systems, 2nd ed. (Saunders, New York, 1995), p. 308.
24.
G. R. Fowles and G. L. Cassiday, Analytical Mechanics, 6th ed. (Saunders, New York, 1999), pp. 233–234.
25.
E. M. Standish, “Suggested GM values for Ceres, Pallas, and Vesta,” Jet Propulsion Laboratory, Interoffice Memorandum, IOM 312.F-01-006, April 11, 2001. (Obtained through private communication with the author.)
26.
D. Brouwer and G. M. Clemence, Methods of Celestial Mechanics (Academic, New York, 1965), p. 301.
27.
H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods, 2nd ed. (Addison-Wesley, New York, 1996), pp. 74–76.
28.
“Impact cratering on Earth” 〈www.unb.ca/passc/ImpactDatabase/essay.html〉
29.
“Vredefort, South Africa” 〈observe.arc.nasa.gov/nasa/exhibits/craters/impact_vredefort.shtml.html〉
30.
“World’s largest impact found in South Africa” 〈www.spacedaily.com/news/spaceguard-99g.html〉
This content is only available via PDF.
AAPT members receive access to the American Journal of Physics and The Physics Teacher as a member benefit. To learn more about this member benefit and becoming an AAPT member, visit the Joining AAPT page.