Yojana to Astronomical Unit Conversion Calculator: Free Online Tool
Convert yojanas to astronomical units with our free online length converter.
Yojana to Astronomical Unit Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Yojana).
- The converted value in Astronomical Unit will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Length category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Yojana to Astronomical Unit
Converting Yojana to Astronomical Unit involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Yojana = 9.0241e-8 astronomical units
Example Calculation:
Convert 10 yojanas: 10 × 9.0241e-8 = 9.0241e-7 astronomical units
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
What is a Yojana and a Astronomical Unit?
The Yojana (Sanskrit: योजन) is an ancient Indian unit of distance, primarily found in historical texts from South Asia. Its exact length is highly debated and likely varied significantly across different time periods, geographical regions, and textual sources.
There is no single, universally accepted conversion to modern units. Common scholarly estimates place its value anywhere between:
- 8 to 15 kilometers (km)
- Approximately 5 to 9 miles (mi)
Some ancient texts define the Yojana in terms of smaller units, such as:
- 4 krosas (or gorutas)
- 8,000 dhanus ('bows')
- 32,000 hastas ('cubits')
However, the lengths of these base units are also subject to historical variation and interpretation, contributing to the uncertainty surrounding the Yojana.
An astronomical unit is a unit of length roughly equal to the average distance between Earth and the Sun. It is defined as exactly 149,597,870,700 meters.
Note: The Yojana is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Astronomical Unit belongs to the imperial/US customary system.
History of the Yojana and Astronomical Unit
- Ancient Origins: The term "Yojana" appears in some of the oldest Indian literature, including the Vedas, the Puranas, and the great epics like the Ramayana and Mahabharata. It was a standard measure for long distances.
- Buddhist Texts: Buddhist scriptures, such as the Pali Canon, frequently use the Yojana to describe geographical distances, the dimensions of mythical realms, or the extent of a Buddha's journey. Different Buddhist traditions sometimes offer varying interpretations of its length.
- Arthashastra: Kautilya's Arthashastra (an ancient treatise on statecraft, c. 3rd century BCE) provides definitions relating the Yojana to smaller units, suggesting a more standardized system for administrative purposes at that time, though its precise value remains debated.
- Lack of Standardization: Unlike modern systems, ancient Indian measurements were not centrally standardized across the vast subcontinent and over long periods. Local customs, royal decrees, and the specific context (e.g., measuring road distance vs. cosmological scale) could all influence the intended length.
- Interpretations: Modern scholars have attempted to calculate the Yojana based on various methods:
- Analyzing travel times mentioned in texts.
- Comparing described geographical distances with known locations.
- Relating it to astronomical measurements found in cosmological texts.
- Working backward from definitions based on smaller, slightly better-understood units like the hasta (cubit) or angula (finger width). These methods often yield conflicting results.
- Obsolescence: With the advent of standardized systems like the Imperial system during British rule and later the widespread adoption of the metric system, the Yojana fell out of practical use for measurement.
Historically used to measure distances within the Solar System, its value was refined over centuries through astronomical observations. The exact definition was adopted by the IAU in 2012.
Common Uses for yojanas and astronomical units
Explore the typical applications for both Yojana (imperial/US) and Astronomical Unit (imperial/US) to understand their common contexts.
Common Uses for yojanas
The Yojana is primarily encountered today in:
- Historical Studies: Understanding ancient Indian geography, trade routes, military campaigns, and administrative divisions described in texts.
- Religious and Literary Studies: Interpreting distances mentioned in Hindu, Buddhist, and Jain scriptures, epics, and classical literature. This includes cosmological descriptions, mythological journeys, and the size of ancient kingdoms or structures.
- Cultural Context: It remains a part of the cultural lexicon in discussions related to ancient Indian heritage and texts.
It is not used for any practical, scientific, or commercial measurements in the modern era.
Common Uses for astronomical units
- Measuring distances within the Solar System (e.g., planet orbits)
- Expressing distances to near-Earth objects
Frequently Asked Questions
Questions About Yojana (yojana)
What is the accepted value of a Yojana in modern units?
There is no single universally accepted value. Scholarly estimates vary widely, most commonly falling between 8 kilometers (approx. 5 miles) and 15 kilometers (approx. 9 miles). Some interpretations suggest values as low as 5 km or as high as 20 km. The specific text, time period, and region must be considered.
Why is the length of the Yojana so uncertain?
Several factors contribute to the uncertainty:
- Lack of Central Standardization: Ancient India had diverse local measurement practices.
- Evolution Over Time: The definition likely changed over centuries.
- Variable Base Units: The smaller units (like krosa or hasta) used to define it were also not universally fixed.
- Contextual Differences: The term might have been used differently for road distances, land surveys, or cosmological scales.
- Figurative Use: In some literary or religious contexts, the term might have been used symbolically or hyperbolically rather than as a precise measurement.
How does the Yojana relate to other ancient Indian units?
The Yojana was typically the largest unit in a hierarchical system. A common (though not universal) relationship described in texts like the Arthashastra is:
- 1 Yojana = 4 Krosas (or Gorutas)
- 1 Krosa = 1,000 (or sometimes 2,000) Dhanus (bows)
- 1 Dhanus = 4 Hastas (cubits)
- 1 Hasta = 24 Angulas (finger widths)
The uncertainty in the base units (hasta, angula) contributes to the uncertainty in the Yojana.
Is the Yojana still used today?
No, the Yojana is an obsolete unit of measurement. It has not been used for practical purposes for centuries and has been entirely replaced by the metric system (kilometers, meters) in India and other relevant regions. Its relevance is purely historical, literary, and cultural.
Is the Yojana an SI unit?
No, the Yojana is not an SI unit. It is an ancient, traditional unit of distance from the Indian subcontinent. The SI base unit for length is the meter (m).
About Astronomical Unit (AU)
Why use Astronomical Units instead of kilometers or miles?
Astronomical Units (AU) provide a more convenient scale for the vast distances within our solar system. Expressing interplanetary distances in km or miles results in extremely large and unwieldy numbers.
How many kilometers/miles is 1 AU?
1 Astronomical Unit (AU) is approximately 149.6 million kilometers or 93 million miles.
How long does it take light to travel 1 AU?
It takes sunlight approximately 8 minutes and 20 seconds to travel the distance of one Astronomical Unit from the Sun to the Earth.
Conversion Table: Yojana to Astronomical Unit
Yojana (yojana) | Astronomical Unit (AU) |
---|---|
1 | 0 |
5 | 0 |
10 | 0 |
25 | 0 |
50 | 0 |
100 | 0 |
500 | 0 |
1,000 | 0 |
All Length Conversions
Other Units from Length
- Meter (m)
- Kilometer (km)
- Hectometer (hm)
- Decimeter (dm)
- Centimeter (cm)
- Millimeter (mm)
- Inch (in)
- Foot (ft)
- Yard (yd)
- Mile (mi)
- Nautical Mile (NM)
- Micrometer (μm)
- Nanometer (nm)
- Light Year (ly)
- Parsec (pc)
- Angstrom (Å)
- Point (Typography) (pt)
- Mil/Thou (mil)
- Fathom (fath)
- Furlong (fur)
- Link (Gunter's) (li)
- Pace (pace)
- Span (span)
- Digit (digit)
- Cable Length (cb)
- Ell (ell)
- Finger (finger)
- Roman Mile (m.p.)
- Stadion (stadion)
- Chi (Chinese) (chi)
- Shaku (Japanese) (shaku)
- Li (Chinese) (li)
- Toise (toise)
- Bolt (bolt)
- Rope (rope)
- Smoot (smoot)
- Sajene (sajene)
- Ken (ken)
- Wa (wa)
- Vara (vara)
- Aln (aln)
- Cubit (Royal/Egyptian) (cubit)
- Versta (versta)
- Arpent (arpent)
- Ri (Japanese) (ri)
- Klafter (klafter)
- Skein (skein)