Difference between revisions of "File:Space is BIG.jpg"
| Line 30: | Line 30: | ||
d = D * 206,265 / θ_pin | d = D * 206,265 / θ_pin | ||
d = 120 km*206,265/338 | d = 120 km * 206,265 / 338 | ||
d = 73,152 km | d = 73,152 km | ||
---- | ---- | ||
==Calculate size at Moon's distance from Earth== | ==Calculate size at Moon's distance from Earth== | ||
Revision as of 15:37, 26 August 2016
Calculations
(1) Small-Angle Formula: D = θ d / 206,265
D = linear size of an object
θ = angular size of the object, in arcseconds
1° = 60 arcminutes = 3600 arcseconds
d = distance to the object
Angular size of a pinhead
θ_Moon = 0.5°, which is roughly the size of a dime held at arm's length:
(2) 0.5° = inverse tangent(x / 36 inches)
x = 0.314 inches
By this equation, we get that the angular size of a pin is:
(3) inverse tangent(0.0590551 inches/36 inches) = θ_pin
θ_pin = 0.094° = 338 arcsec
Calculate distance for pinhead-sized Death Star
(1) D = (θ_pin * d) / 206,265
d = D * 206,265 / θ_pin
d = 120 km * 206,265 / 338
d = 73,152 km
Calculate size at Moon's distance from Earth
(1) D = (θ_Death_Star * d) / 206,265
θ_Death_Star = D * 206,265 / d
θ_Death_Star = 120 km * 206,265 / 385,000 km
θ_Death_Star = 64 arcseconds = 1 arcminute
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:49, 26 August 2016 |  | 1,420 × 699 (99 KB) | Kabutton (talk | contribs) |
You cannot overwrite this file.
File usage
The following page uses this file:
