Annual Tithi - Calculator Portable

Report Title: Development and Utility of an Annual Tithi Calculator: A Portable Solution for Hindu Lunar Calendar Tracking Date: [Insert Current Date] Prepared by: [Your Name/Department] Subject: Annual Tithi Calculator Portable

1. Executive Summary This report details the concept, design, and applications of a Portable Annual Tithi Calculator . Unlike static calendars or internet-dependent apps, this tool is designed to compute the Tithi (lunar day) for any given date across a full year without requiring real-time data or a network connection. The "portable" nature refers both to its physical compactness (e.g., a pocket-sized booklet or card) and its software version (a standalone, lightweight executable file). This report outlines how such a calculator benefits users in religious, astrological, and cultural planning. 2. Background: What is a Tithi? In the Hindu lunar calendar, a Tithi is the time taken for the longitudinal angle between the Sun and the Moon to increase by 12°. There are 30 Tithis in a lunar month (15 in the Shukla Paksha – waxing phase, and 15 in the Krishna Paksha – waning phase). Unlike solar dates, Tithis vary in duration (often 19–26 hours) and do not align perfectly with the Gregorian calendar. Thus, an annual Tithi calculator is essential for:

Scheduling festivals (e.g., Diwali on Amavasya, Janmashtami on Ashtami). Performing Shraddha (ancestral rites) on specific Tithis. Determining auspicious ( muhurta ) and inauspicious days.

3. The Portable Advantage Traditional Tithi lookup methods include printed Panchangs (almanacs) which are bulky and yearly-specific, or mobile apps requiring constant internet and battery. The Portable Annual Tithi Calculator offers: | Feature | Benefit | |---------|---------| | Offline Functionality | No internet or GPS needed. | | Year-Specific but Reusable | User inputs the year; algorithm adjusts for lunar cycles. | | Compact Form Factor | Physical: credit-card sized slide chart. Digital: < 2 MB executable. | | Fast Lookup | Enter (Day, Month, Gregorian Year) → Output: Tithi name, Paksha, ending time (IST/local). | 4. How It Works (Technical Overview) A. For a Physical Slide Chart or Wheel Calculator: annual tithi calculator portable

Inner wheel: Gregorian months (Jan–Dec) and days (1–31). Outer wheel: Tithi names (Pratipada to Amavasya/Purnima) and lunar months (Chaitra to Phalguna). Alignment marks based on a fixed reference year (e.g., 2025) plus correction factors for leap years and lunar adjustments. Limitation: Accuracy decreases after 3–4 years without recalibration.

B. For a Portable Software Calculator (Recommended):

Algorithm: Uses astronomical formulae (e.g., Jean Meeus’ Astronomical Algorithms ) to compute the Moon-Sun angle difference. Input: Gregorian date (DD/MM/YYYY) and time zone offset. Process: Report Title: Development and Utility of an Annual

Calculate Julian Day Number (JDN). Compute Sun’s longitude and Moon’s longitude. Find difference → divide by 12° → determine Tithi number (0–29). Map number to Tithi name and Paksha.

Output: Tithi name, Paksha, and approximate end time (IST). Portability: Compiled as a single .exe (Windows) or .bin (Linux/macOS) – no installation, runs from USB drive.

5. Key Features of the Portable Annual Tithi Calculator The "portable" nature refers both to its physical

Annual Scope: Preloaded with lunar corrections for the chosen year (e.g., 2026). For physical versions, a new slider is printed each year. Dual Mode: Can show Tithi at sunrise (traditional) or at a user-specified time. Extra Data: Also displays Nakshatra (lunar mansion) and Karana (half-Tithi) optionally. Language Support: Sanskrit/English names; regional scripts (Devanagari, Tamil, Telugu) can be included. Low Power: Digital version uses negligible battery; physical version needs no power.

6. Use Cases