Revisions to Distance between two points on the Moon

Commonmark migration

Source Link

edited Jun 17, 2020 at 9:04

1

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Other possible formulas

Other possible formulas

d = r * acos(sin ϕ1 sin ϕ2 + cos ϕ1 cos ϕ2 cos(λ2 - λ1)) @miles' formula.
d = r * acos(cos(ϕ1 - ϕ2) + cos ϕ1 cos ϕ2 (cos(λ2 - λ1) - 1)) @Neil's formula.

##Example where inputs are degrees and output as rounded integer

Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Other possible formulas

d = r * acos(sin ϕ1 sin ϕ2 + cos ϕ1 cos ϕ2 cos(λ2 - λ1)) @miles' formula.
d = r * acos(cos(ϕ1 - ϕ2) + cos ϕ1 cos ϕ2 (cos(λ2 - λ1) - 1)) @Neil's formula.

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

Other possible formulas

d = r * acos(sin ϕ1 sin ϕ2 + cos ϕ1 cos ϕ2 cos(λ2 - λ1)) @miles' formula.
d = r * acos(cos(ϕ1 - ϕ2) + cos ϕ1 cos ϕ2 (cos(λ2 - λ1) - 1)) @Neil's formula.

Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

added 442 characters in body

Source Link

edited Apr 11, 2018 at 12:25

mdahmoune

3.1k
2
16
28

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Other possible formulas

d = r * acos(sin ϕ1 sin ϕ2 + cos ϕ1 cos ϕ2 cos(λ2 - λ1)) @miles' formula.

d = r * acos(cos(ϕ1 - ϕ2) + cos ϕ1 cos ϕ2 (cos(λ2 - λ1) - 1)) @Neil's formula.

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Other possible formulas

d = r * acos(sin ϕ1 sin ϕ2 + cos ϕ1 cos ϕ2 cos(λ2 - λ1)) @miles' formula.

d = r * acos(cos(ϕ1 - ϕ2) + cos ϕ1 cos ϕ2 (cos(λ2 - λ1) - 1)) @Neil's formula.

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

spelling fixes.

Source Link

edited Apr 11, 2018 at 6:40

JAD

3k
1
12
31

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometrekilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometrekilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometre, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometre between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Given latitude/longitude of two points on the Moon (lat1, lon1) and (lat2, lon2), compute the distance between the two points in kilometers, by using any formula that gives the same result as the haversine formula.

##Input

Four integer values lat1, lon1, lat2, lon2 in degree (angle) or
four decimal values ϕ1, λ1, ϕ2, λ2 in radians.

##Output

Distance in kilometers between the two points (decimal with any precision or rounded integer).

##Haversine formula

$d = 2 r \arcsin\left(\sqrt{\sin^2\left(\frac{\phi_2 - \phi_1}{2}\right) + \cos(\phi_1) \cos(\phi_2)\sin^2\left(\frac{\lambda_2 - \lambda_1}{2}\right)}\right)$

where

r is the radius of the sphere (assume that the Moon's radius is 1737 km),
ϕ1 latitude of point 1 in radians
ϕ2 latitude of point 2 in radians
λ1 longitude of point 1 in radians
λ2 longitude of point 2 in radians
d is the circular distance between the two points

(source: https://en.wikipedia.org/wiki/Haversine_formula)

##Example where inputs are degrees and output as rounded integer

42, 9, 50, 2  --> 284
50, 2, 42, 9  --> 284
4, -2, -2, 1  --> 203
77, 8, 77, 8  --> 0
10, 2, 88, 9  --> 2365

Rules

The input and output can be given in any convenient format.
Specify in the answer whether the inputs are in degrees or radians.
No need to handle invalid latitude/longitude values
Either a full program or a function are acceptable. If a function, you can return the output rather than printing it.
If possible, please include a link to an online testing environment so other people can try out your code!
Standard loopholes are forbidden.
This is code-golf so all usual golfing rules apply, and the shortest code (in bytes) wins.

Tweeted twitter.com/StackCodeGolf/status/983910048232607744

occurred Apr 11, 2018 at 3:30

deleted 21 characters in body

Source Link

edited Apr 10, 2018 at 15:24

mdahmoune

3.1k
2
16
28

Loading

added 1 character in body

Source Link

edited Apr 10, 2018 at 14:35

mdahmoune

3.1k
2
16
28

Loading

deleted 1 character in body

Source Link

edited Apr 10, 2018 at 14:22

mdahmoune

3.1k
2
16
28

Loading

edited body

Source Link

edited Apr 10, 2018 at 14:16

mdahmoune

3.1k
2
16
28

Loading

edited body

Source Link

edited Apr 10, 2018 at 14:12

mdahmoune

3.1k
2
16
28

Loading

edited body

Source Link

edited Apr 10, 2018 at 14:06

mdahmoune

3.1k
2
16
28

Loading

Source Link

asked Apr 10, 2018 at 13:42

mdahmoune

3.1k
2
16
28

Loading

Stack Exchange Network

Return to Question

Post Timeline

Input

Output

Haversine formula

Other possible formulas

Example where inputs are degrees and output as rounded integer

Rules

Rules

Input

Output

Haversine formula

Other possible formulas

Example where inputs are degrees and output as rounded integer

Rules

Rules

Rules

Rules

Rules

Rules

Rules