Gann Astronomical Turning Points

This is a comprehensive Pine Script that implements W.D. Gann's astronomical theories to identify potential market turning points. Here's a detailed breakdown of the script:

Overview
The script identifies and displays astronomical events (sun angles, moon phases, and Mercury retrogrades) that Gann theorists believe correlate with market turning points. It also analyzes historical price performance following these events to provide statistical significance.

Key Components
1. Input Parameters
Date Range: Users can set the analysis period (start and end dates)
Display Options: Toggle visibility of different astronomical events and tables
Analysis Settings: Configure the lookback period for price change analysis (1-20 days)

2. Astronomical Calculations
The script includes several functions to calculate celestial positions:

getDaysSinceEpoch(t): Calculates days since January 1, 2000 (reference point)
getSunLongitude(t): Computes the Sun's position in the ecliptic (0-360°)
getMoonPhase(t): Determines the Moon's phase angle relative to the Sun
getMercuryLongitude(t): Calculates Mercury's position in the ecliptic

3. Gann Critical Angles (Sun Events)
The script identifies when the Sun reaches four critical angles that Gann considered significant:

0° Aries (Spring Equinox)
90° Cancer (Summer Solstice)
180° Libra (Fall Equinox)
270° Capricorn (Winter Solstice)
These are detected by tracking when the Sun's longitude crosses these specific angles.

4. Moon Phases
Four key moon phases are identified:

New Moon: Moon passes between Earth and Sun
First Quarter: Moon is 90° east of Sun
Full Moon: Moon is opposite the Sun
Last Quarter: Moon is 270° east of Sun

5. Mercury Retrograde Periods
The script detects when Mercury appears to move backward in its orbit:

Identifies start and end dates of retrograde motion
Displays these periods as highlighted zones on the chart

6. Price Change Analysis
For each astronomical event, the script:

Calculates the percentage price change over a user-defined lookback period
Categorizes changes as positive or negative
Stores this data for statistical analysis

7. Statistical Significance
The script calculates several metrics for each event type:

Average Price Change: Mean percentage change following events
Up/Down Ratio: Number of positive vs. negative changes
Accuracy Percentage: How often the dominant direction occurred

8. Visual Elements
The script includes multiple display components:

Event Labels
Sun Angles: Orange sun symbols displayed above price bars
Moon Phases: Moon phase emojis displayed below price bars
Mercury Retrograde: Red boxes highlighting the retrograde periods
Information Tables
Events Table: Shows upcoming and recent astronomical events
Significance Analysis Table: Displays statistical performance of each event type
Forecast Section: Identifies the next upcoming event and predicted direction

9. Forecasting Functionality
The script predicts market direction for the next astronomical event based on:

Historical average price change for that event type
Statistical accuracy of previous similar events
Color-coded forecast (green for bullish, red for bearish)


This script offers an interesting implementation of Gann's astronomical theories, but should be used as part of a broader analysis rather than as a standalone trading system.

Disclaimer: This indicator is for educational purposes only. Past performance does not guarantee future results. Always conduct your own research and risk assessment before trading.