Step 1: Understanding the Concept:
While each zodiac sign is exactly 30 degrees wide, they do not all take the same amount of time to rise above the horizon. This is due to the obliquity of the ecliptic and the observer's latitude. This phenomenon is called 'Rashyudaya' (Rising of signs).
Step 2: Detailed Explanation of Assertion (A):
The numbers like 21 and 29 refer to the "Chara-khandas" (increments of ascensional difference).
- At the Equator, the signs rise in symmetric times (Lankodaya).
- At any other latitude, some signs rise faster (short ascension) and some rise slower (long ascension).
- The numerical values (in 'Palas' or minutes) like 21, 29, or 36 represent the correction added to or subtracted from the equatorial rising times to find the local rising times. These are essential for calculating the 'Lagna' (Ascendant).
Step 3: Detailed Explanation of Reason (R):
The reason is purely astronomical. Because the Earth's axis is tilted, the ecliptic is inclined to the horizon at different angles depending on the observer's latitude (Akshaksha). This causes the duration of the rising of each sign to change. These local durations are called 'Deshiya Udayamaanas'. Without calculating these, one cannot accurately find the rising sign (Lagna) for a birth chart.
Step 4: Synthesis:
Assertion (A) gives the mathematical constants, and Reason (R) provides the astronomical phenomenon that necessitates those constants. They are perfectly linked.
Step 5: Final Answer:
Both are correct and (R) explains (A).