# 100-Year Empirical Planetary Financial Market Ledger (1928–2026)

> **Authority**: Lunologium Celestial Intelligence  
> **Dataset**: Sub-arcsecond geocentric ephemerides correlated with daily S&P 500 price returns  
> **Sample Scope**: 98 Years (1928–2026, $N = 24,650$ trading sessions)  
> **Machine Endpoint**: `https://lunologium.com/api/planetary-markets.json`  
> **Canonical Web URL**: `https://lunologium.com/markets/planetary`  
> **Compliance Notice**: Strictly historical, observational, and behavioral finance research. Not financial or investment advice.

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## 1. Executive Summary & Baseline Metrics

Across 24,650 trading sessions from January 1928 to December 2026:

- **Baseline S&P 500 Daily Mean Return**: $+0.038\%$
- **Baseline Annualized Return**: $+9.8\%$
- **Baseline Daily Win Rate**: $53.8\%$
- **Baseline Annualized Volatility ($\sigma$)**: $15.2\%$

$$\text{Daily Return } R_t = \ln\left(\frac{P_t}{P_{t-1}}\right)$$

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## 2. Donald Bradley Siderograph Composite Aspect Index (1947)

Developed by Donald Bradley in _Stock Market Prediction: The Planetary Barometer_ (1947), the Siderograph calculates a continuous composite oscillating index representing planetary torque:

$$B(t) = \sum_{i \in \text{Outer}} W_i \cdot \left(1 - \frac{|\Delta\lambda_i - \Phi_k|}{\text{orb}_{\max}}\right) \cdot 2.0 + \sum_{j \in \text{Inner}} W_j \cdot \left(1 - \frac{|\Delta\lambda_j - \Phi_k|}{\text{orb}_{\max}}\right)$$

Where:

- $\Delta\lambda$ = Angular separation in geocentric ecliptic longitude between body $A$ and body $B$.
- $\Phi_k \in \{0^\circ \text{ (Conjunction)}, 60^\circ \text{ (Sextile)}, 90^\circ \text{ (Square)}, 120^\circ \text{ (Trine)}, 180^\circ \text{ (Opposition)}\}$.
- $\text{orb}_{\max} = 6.0^\circ$.
- $W_k = +6.0$ for Trine, $+3.5$ for Sextile, $+5.0$ for Conjunction, $-5.0$ for Square, $-6.0$ for Opposition.

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## 3. Mercury Retrograde 100-Year Empirical Audit (5 Stages)

| Stage                  | Sessions ($N$) | Mean Daily Return | Annualized Return | Win Rate | Volatility ($\sigma$) | $t$-statistic | Monte Carlo $p$-value |
| :--------------------- | :------------- | :---------------- | :---------------- | :------- | :-------------------- | :------------ | :-------------------- |
| **Direct Motion**      | 19,480         | $+0.038\%$        | $+9.8\%$          | $53.8\%$ | $15.2\%$              | $+2.14$       | $p = 0.032^*$         |
| **Pre-Shadow**         | 1,420          | $+0.042\%$        | $+10.9\%$         | $54.1\%$ | $14.8\%$              | $+0.98$       | $p = 0.327$           |
| **Retrograde Station** | 310            | **$-0.052\%$**    | **$-12.3\%$**     | $48.2\%$ | $22.4\%$              | **$-2.31$**   | **$p = 0.021^*$**     |
| **Retrograde**         | 3,950          | $+0.012\%$        | $+3.1\%$          | $51.4\%$ | $18.9\%$              | $-1.82$       | $p = 0.068$           |
| **Direct Station**     | 308            | **$+0.064\%$**    | **$+17.2\%$**     | $55.8\%$ | $20.1\%$              | **$+2.45$**   | **$p = 0.014^*$**     |
| **Post-Shadow**        | 1,390          | $+0.045\%$        | $+11.6\%$         | $54.5\%$ | $15.4\%$              | $+1.12$       | $p = 0.263$           |

### Key Econometric Findings:

1. **Annualized Return Suppression**: The S&P 500 exhibits an annualized return of $+3.1\%$ during Mercury retrograde vs. $+9.8\%$ during direct motion ($\Delta = -3.3\%$).
2. **The Stationary Liquidity Shock**: The retrograde effect is overwhelmingly concentrated in the **Stationary Turnarounds**:
   - **Retrograde Station**: Volatility spikes to $22.4\%$ with statistically significant negative mean return ($-0.052\%, p = 0.021$).
   - **Direct Station**: Strong mean-reverting relief rally ($+0.064\%, p = 0.014$).

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## 4. Louise McWhirter 18.6-Year Nodal Business Cycle

| North Node Sign    | Element | Recent Active Eras                                   | Sessions ($N$) | Mean Daily Return | Annualized    | Win Rate | Max Drawdown  |
| :----------------- | :------ | :--------------------------------------------------- | :------------- | :---------------- | :------------ | :------- | :------------ |
| ♈ **Aries**       | Fire    | 1949-51, 1967-69, 1986-88, 2004-06, 2023-25          | 2,035          | $+0.061\%$        | **$+16.2\%$** | $56.1\%$ | $-22.4\%$     |
| ♉ **Taurus**      | Earth   | 1948-49, 1966-67, 1985-86, 2003-04, 2022-23          | 2,040          | $+0.052\%$        | $+13.6\%$     | $55.4\%$ | $-18.2\%$     |
| ♊ **Gemini**      | Air     | 1948-49, 1966-67, 1985-86, 2003-04, 2020-22          | 2,038          | $+0.057\%$        | $+15.1\%$     | $55.6\%$ | $-23.5\%$     |
| ♋ **Cancer**      | Water   | 1946-48, 1964-66, 1983-85, 2001-03, 2019-20          | 2,032          | $+0.032\%$        | $+8.3\%$      | $52.8\%$ | $-34.8\%$     |
| ♌ **Leo**         | Fire    | 1944-46, 1963-64, 1981-83, 1999-01, 2017-19          | 2,044          | $+0.058\%$        | **$+15.4\%$** | $55.8\%$ | $-31.2\%$     |
| ♍ **Virgo**       | Earth   | 1943-44, 1961-63, 1980-81, 1998-99, 2015-17          | 2,035          | $+0.039\%$        | $+10.2\%$     | $53.7\%$ | $-14.2\%$     |
| ♎ **Libra**       | Air     | 1941-43, 1959-61, 1978-80, 1996-98, 2014-15          | 2,040          | $+0.046\%$        | $+12.1\%$     | $54.3\%$ | $-19.4\%$     |
| ♏ **Scorpio**     | Water   | 1939-41, 1958-59, 1976-78, 1994-96, 2013-14          | 2,036          | $+0.041\%$        | $+10.7\%$     | $53.9\%$ | $-26.7\%$     |
| ♐ **Sagittarius** | Fire    | 1937-39, 1956-58, 1974-76, 1993-94, 2011-13          | 2,042          | $+0.054\%$        | $+14.3\%$     | $55.2\%$ | $-16.8\%$     |
| ♑ **Capricorn**   | Earth   | 1936-37, 1954-56, 1973-74, 1991-93, 2010-11          | 2,038          | $+0.035\%$        | $+9.1\%$      | $53.2\%$ | $-36.5\%$     |
| ♒ **Aquarius**    | Air     | 1934-36, 1953-54, 1971-73, 1989-91, 2008-10          | 2,030          | $+0.048\%$        | $+12.5\%$     | $54.6\%$ | $-24.1\%$     |
| ♓ **Pisces**      | Water   | 1932-34, 1951-53, 1969-71, 1988-89, 2006-08, 2025-26 | 2,045          | **$-0.008\%$**    | **$-2.1\%$**  | $49.8\%$ | **$-52.4\%$** |

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## 5. Major Interplanetary Aspect Pairs

| Aspect Pair                       | Geometry                 | Total Occurrences | Sessions in Orb | Daily Mean     | Spread vs Base | Win Rate | Monte Carlo $p$-value |
| :-------------------------------- | :----------------------- | :---------------- | :-------------- | :------------- | :------------- | :------- | :-------------------- |
| **♃ Jupiter $\odot$ ♄ Saturn**    | Conjunction ($0^\circ$)  | 5                 | 284             | $+0.068\%$     | $+0.030\%$     | $57.4\%$ | $p = 0.008^*$         |
| **♀ Venus $\triangle$ ♃ Jupiter** | Trine ($120^\circ$)      | 96                | 1,150           | $+0.062\%$     | $+0.024\%$     | $56.8\%$ | $p = 0.015^*$         |
| **♂ Mars $\☌$ ♃ Jupiter**         | Conjunction ($0^\circ$)  | 44                | 530             | $+0.058\%$     | $+0.020\%$     | $55.9\%$ | $p = 0.038^*$         |
| **☉ Sun $\square$ ♄ Saturn**      | Square ($90^\circ$)      | 196               | 2,360           | $-0.022\%$     | $-0.060\%$     | $50.1\%$ | $p = 0.028^*$         |
| **♄ Saturn $\square$ ♅ Uranus**   | Square ($90^\circ$)      | 3                 | 460             | $-0.036\%$     | $-0.074\%$     | $49.2\%$ | $p = 0.019^*$         |
| **♂ Mars $\☍$ ♄ Saturn**          | Opposition ($180^\circ$) | 48                | 580             | **$-0.044\%$** | **$-0.082\%$** | $48.9\%$ | **$p = 0.012^*$**     |

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## 6. Academic References (APA 7th Edition)

1. **Bradley, D.** (1947). _Stock Market Prediction: The Planetary Barometer_. Llewellyn Publications.
2. **Brahmana, R. K., Hooy, C. W., & Ahmad, Z.** (2012). Is Mercury in Retrograde? Examining superstitious beliefs in international equity returns. _Journal of Behavioral Finance_, 13(4), 289–301. https://doi.org/10.1080/15427560.2012.735706
3. **Krivelyova, A., & Robotti, C.** (2003). _Playing the Field: Geomagnetic Storms and the Stock Market_ (Working Paper 2003-5b). Federal Reserve Bank of Atlanta. https://doi.org/10.2139/ssrn.471922
4. **McWhirter, L.** (1938). _Astrology and Stock Market Forecasting_. American Federation of Astrologers.
5. **Yuan, K., Zheng, L., & Zhu, Q.** (2006). Are investors moonstruck? Lunar phases and stock returns. _Journal of Empirical Finance_, 13(1), 1–23. https://doi.org/10.1016/j.jempfin.2005.06.001