Types of calendars:
 
Lunar calendar:
 
A lunar calendar is based on Moon phases.
  • One month \(=\ 29.5\) days
  • \(12\) months \(=\ 354\) days
  • Seasons shift because it is shorter than solar year.
 
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Lunar calendar
 
Luni-Solar calendar:
 
This calendar uses Moon phases but adjusts to match seasons.
  • An extra month (Adhika Maasa) is added every few years.
  • Keeps lunar months aligned with the solar year. 
 
Solar calendar:
 
Based on Earth’s revolution around the Sun.
  • Gregorian calendar is an example.
  • \(365\ \text{days}\) in a year
  • Months adjusted to total \(365\ \text{days}\)
  • Includes leap year correction
Indian national calendar:
  • A solar calendar used for official purposes.
  • Year begins on \(22\ \text{March}\) (\(21\ \text{March}\) in leap year).
  • Months have \(30\) or \(31\ \text{days}\).
  • Leap year synchronized with Gregorian calendar.
 
Festivals and calendars
 
Festivals based on Moon:
 
Many Indian festivals follow lunar or luni-solar calendars:
  • Diwali – New Moon of Kartika
  • Holi – Full Moon of Phalguna
  • Buddha Purnima – Full Moon of Vaisakha
  • Eid-ul-Fitr – After sighting crescent Moon
  • Dussehra – Tenth day of Ashwina
Since lunar year is shorter, these festivals change dates in the Gregorian calendar.
 
Festivals based on solar (Sidereal) calendar:
 
  • Makar Sankranti
  • Pongal
  • Bihu
  • Vaisakhi
  • Poila Baisakh
  • Puthandu
These occur nearly on the same Gregorian dates. However, due to difference between sidereal and tropical year and Earth’s slow wobble (precession), they slowly shift over centuries.
Example:
Makar Sankranti shifts by about one day every \(71\) years. 
Rashtriya Panchang:
 
The Positional Astronomy Centre prepares the Rashtriya Panchang to standardize festival dates across India. It calculates precise positions of the Sun and Moon.
 
Artificial satellites:
 
Natural and Artificial Satellites:
  • The Moon is Earth’s natural satellite.
  • Artificial satellites are man-made objects sent into space.
 
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Artificial satellites 
 
Why we launch artificial satellites:
 
They are used for:
  • Communication
  • Weather forecasting
  • Navigation
  • Disaster management
  • Scientific research
Most artificial satellites orbit at about \(800\ \text{km}\) height and take about \(100\ \text{minutes}\) to complete one orbit.
 
India’s space missions (ISRO):
 
Cartosat series: Earth imaging and mapping
Bhuvan platform: Displays mapping data
AstroSat: Studies stars and space objects
Chandrayaan 1, 2, 3: Moon missions
Aditya-L1: Studies the Sun
Mangalyaan: Mars mission
Student satellites: AzaadiSat, Kalamsat, InspireSat-1, Jugnu
 
Space junk:
  • Old satellites and rocket parts form space debris.
  • Can damage working satellites.
  • Small pieces burn in atmosphere.
  • Larger pieces may fall to Earth.
  • Countries are working to reduce space debris.
 
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Space junks