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> Semi-latus rectum in Kepler's First Law (given polar coordinates )
Semi-latus rectum in Kepler's First Law (given polar coordinates )
Formula
p
the semi-latus rectum
r
the distance from the Sun to the planet
theta
angle with its vertex at the Sun from the location where the planet is closest to the Sun
epsilon
the eccentricity of the ellipse
Formula description
The orbit of every planet is an ellipse with the Sun at one of the two foci.
Calculator (
how to use calculator?
)
r
meter
0.001 inch
0.1 foot (international)
0.1 inch
150 kilometers
32nd inch
50 kilometers
64th inch
a.u.of length(a.u.b)
angstrom
barrel per acre
braza (Texas)
centimeter
chain
chain (British chain (Benoit 1895 A))
chain (British chain (Benoit 1895 B)
chain (British chain (Sears 1922 truncated))
chain (British chain (Sears 1922))
chain (Clarke chain)
chain (Gunter's chain, Surveyor's chain)
chain (Ramsden chain, Engineer's chain)
chain (US survey chain)
cubic meter per square meter
cuerda
decimeter
dra (Russia)
Earth's distance from sun
Earth's equatorial radius
el (Dutch)
elle (Vienna)
estadio (Spain)
fathom
femtometer
foot (American modified)
foot (Beno?t)
foot (British foot (1865))
foot (British foot (1936))
foot (British foot (Benoit 1895 A))
foot (British foot (Benoit 1895 B))
foot (British foot (Sears 1922 truncated))
foot (British foot (Sears 1922))
foot (Clarke's; Cape) (H)
foot (France)
foot (Gold Coast foot)
foot (Indian foot (1937))
foot (Indian foot (1962))
foot (Indian foot (1975))
foot (Indian foot)
foot (International)
foot (royal foot)
foot (Scots foot)
foot (Sears)
foot (U.S. survey)
gallon per hundred square feet
gigameter
hectometer
inch (International)
inch (U.S. survey)
kilometer
light year (tropical)
light-day
light-hour
light-minute
light-second
link
link (British link (Benoit 1895 A))
link (British link (Benoit 1895 B))
link (British link (Sears 1922 truncated))
link (British link (Sears 1922))
link (Clarke link)
link (Gunter's; Surveyor's)
link (Ramsden's; Engineer's)
link (US survey link)
marathon
megameter
meter (German legal meter)
micrometer
micromicron
micron
mile (Britain, ancient)
mile (geographical)?
mile (international)
mile (Irish)
mile (nautical mile, Admiralty)
mile (nautical, international)
mile (nautical, UK nautical mile)
mile (nautical, US)
mile (Roman, ancient)
mile (Scottish)
mile (statute)
mile (tactical or data)
mile (telegraph)
mile (U.S. Survey)
millimeter
millimicron
million cubic feet per acre
nanometer
nanon
petameter
picometer
Planck length
point (Adobe)
point (Britain, US)
point (Didot; European)
point (PostScript)?
point (TeX)?
point?(American, English)
rod (international)
rod (US Survey)
tenth inch
terameter
yard (British yard (Benoit 1895 A))
yard (British yard (Benoit 1895 B))
yard (British yard (Sears 1922 truncated))
yard (British yard (Sears 1922))
yard (Clarke yard)
yard (Indian yard (1937))
yard (Indian yard (1962))
yard (Indian yard (1975))
yard (Indian yard)
yard (International)
yard (US Survey yard)
yoctometer
yottameter
zeptometer
zettameter
theta
radian
centesimal minute
degree (angle)
degree (angle)
gigaradian
gon
grad
gradian
megaradian
microradian
mil
milliradian
millisecond (angle)
minute (angle)
minute of arc
epsilon
p
meter
0.001 inch
0.1 foot (international)
0.1 inch
150 kilometers
32nd inch
50 kilometers
64th inch
a.u.of length(a.u.b)
angstrom
barrel per acre
braza (Texas)
centimeter
chain
chain (British chain (Benoit 1895 A))
chain (British chain (Benoit 1895 B)
chain (British chain (Sears 1922 truncated))
chain (British chain (Sears 1922))
chain (Clarke chain)
chain (Gunter's chain, Surveyor's chain)
chain (Ramsden chain, Engineer's chain)
chain (US survey chain)
cubic meter per square meter
cuerda
decimeter
dra (Russia)
Earth's distance from sun
Earth's equatorial radius
el (Dutch)
elle (Vienna)
estadio (Spain)
fathom
femtometer
foot (American modified)
foot (Beno?t)
foot (British foot (1865))
foot (British foot (1936))
foot (British foot (Benoit 1895 A))
foot (British foot (Benoit 1895 B))
foot (British foot (Sears 1922 truncated))
foot (British foot (Sears 1922))
foot (Clarke's; Cape) (H)
foot (France)
foot (Gold Coast foot)
foot (Indian foot (1937))
foot (Indian foot (1962))
foot (Indian foot (1975))
foot (Indian foot)
foot (International)
foot (royal foot)
foot (Scots foot)
foot (Sears)
foot (U.S. survey)
gallon per hundred square feet
gigameter
hectometer
inch (International)
inch (U.S. survey)
kilometer
light year (tropical)
light-day
light-hour
light-minute
light-second
link
link (British link (Benoit 1895 A))
link (British link (Benoit 1895 B))
link (British link (Sears 1922 truncated))
link (British link (Sears 1922))
link (Clarke link)
link (Gunter's; Surveyor's)
link (Ramsden's; Engineer's)
link (US survey link)
marathon
megameter
meter (German legal meter)
micrometer
micromicron
micron
mile (Britain, ancient)
mile (geographical)?
mile (international)
mile (Irish)
mile (nautical mile, Admiralty)
mile (nautical, international)
mile (nautical, UK nautical mile)
mile (nautical, US)
mile (Roman, ancient)
mile (Scottish)
mile (statute)
mile (tactical or data)
mile (telegraph)
mile (U.S. Survey)
millimeter
millimicron
million cubic feet per acre
nanometer
nanon
petameter
picometer
Planck length
point (Adobe)
point (Britain, US)
point (Didot; European)
point (PostScript)?
point (TeX)?
point?(American, English)
rod (international)
rod (US Survey)
tenth inch
terameter
yard (British yard (Benoit 1895 A))
yard (British yard (Benoit 1895 B))
yard (British yard (Sears 1922 truncated))
yard (British yard (Sears 1922))
yard (Clarke yard)
yard (Indian yard (1937))
yard (Indian yard (1962))
yard (Indian yard (1975))
yard (Indian yard)
yard (International)
yard (US Survey yard)
yoctometer
yottameter
zeptometer
zettameter
Precision
0
1
2
3
4
5
6
7
8
9
Formula code
C
C#
C++
Java
JavaScript
LaTeX
PHP
#include
p = r*(1+epsilon*cos(theta))
p = r*(1+epsilon*Math.Cos(theta))
#include
p = r*(1+epsilon*cos(theta))
p = r*(1+epsilon*Math.cos(theta))
p = r*(1+epsilon*Math.cos(theta))
p = r(1+\varepsilon \cos \theta)
$p = $r*(1+$epsilon*cos($theta))
References
wikipedia: Semi-latus rectum in Kepler's First Law (Given polar coordinates ).
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