Second (Sidereal) to Year (Tropical) Converter
Unit Converter
Instant · Precise · Universal
28 units available
6 categories total
How to Convert Second (Sidereal) to Year (Tropical)
To convert sidereal seconds to solar seconds: multiply by 0.99727. One solar second ≈ 1.00274 sidereal seconds.
1 sidereal second ≈ 0.99727 solar seconds. 86,400 sidereal seconds = 1 sidereal day.
For example, 1 Second (Sidereal) (s (Sid)) = 3.160224e-8 Year (Tropical) (yr (Trop)).
Second (Sidereal) to Year (Tropical) — Common Values
| Second (Sidereal) (s (Sid)) | Year (Tropical) (yr (Trop)) |
|---|---|
| 0.1 | 3.160224e-9 |
| 0.5 | 1.580112e-8 |
| 1 | 3.160224e-8 |
| 2 | 6.320448e-8 |
| 5 | 1.580112e-7 |
| 10 | 3.160224e-7 |
| 25 | 7.900561e-7 |
| 50 | 0.00000158011212 |
| 100 | 0.00000316022424 |
| 500 | 0.0000158011212 |
| 1000 | 0.0000316022424 |
About Second (Sidereal) (s (Sid))
Definition
The sidereal second is 1/60 of a sidereal minute — approximately 0.99727 solar seconds.
Mathematical Relationship
1 sidereal second ≈ 0.99727 solar seconds. 86,400 sidereal seconds = 1 sidereal day.
Conversion Formula
To convert sidereal seconds to solar seconds: multiply by 0.99727. One solar second ≈ 1.00274 sidereal seconds.
Practical Applications
Telescope tracking motors rotate at sidereal rate (1 revolution per sidereal day) to follow stars across the sky.
Interesting Facts
The difference between sidereal and solar seconds (2.73 ms) seems tiny, but over a day it adds up to the full ~236 s difference.
Common Mistakes
Assuming sidereal seconds equal solar seconds. The ~0.27% difference is critical in precision astronomy.
Educational Tips
Multiply any sidereal time interval by 0.99727 to get the solar equivalent. This ratio stays constant at all time scales.
About Year (Tropical) (yr (Trop))
Definition
The tropical year is the time for the Sun to return to the same equinox point — approximately 365.24219 days (31,556,925.216 seconds).
Mathematical Relationship
1 tropical year ≈ 365.24219 days ≈ 365 d 5 h 48 min 45 s. Shorter than the sidereal year by about 20 minutes due to precession.
Conversion Formula
To convert tropical years to days: multiply by 365.24219. To Julian years: multiply by 365.24219/365.25.
Practical Applications
Calendar design — the Gregorian calendar's average year (365.2425 days) approximates the tropical year to within 26 seconds.
Interesting Facts
The tropical year is slowly shortening — by about 0.53 seconds per century. In the year 1900, it was 365.24220 days.
Common Mistakes
Confusing tropical year with sidereal year — the tropical year is ~20 minutes shorter due to axial precession.
Educational Tips
The tropical year governs seasons. If we used the sidereal year for calendars, seasons would slowly drift through the months over ~26,000 years.