About Us

A cloud platform for temporal intelligence systems

Who We Are

Retrograde Observatory is temporal computing infrastructure that transforms astronomical data into 3D timestamps through algorithmic computation.

We provide:

  • Algorithmic transformation of astronomical mechanics into temporal coordinates
  • API infrastructure for real-time access to temporal computation
  • Multiple output formats for computational flexibility
  • Pre-built interpretation frameworks for domain-specific temporal intelligence
  • Developer tools and platforms for infrastructure integration

Infrastructure characteristics:

  • Deterministic: Identical input produces identical output
  • Precise: Ephemeris-quality maintained throughout
  • Flexible: Configurable per API request
  • Scalable: Horizontal scaling architecture
  • Accessible: REST API, SDKs, documentation

Temporal Computing Infrastructure.

The Vision

"Time is the last frontier of computing coordinates.

We have spatial coordinates (GPS revolutionized location-based computing). But time? Still stuck with linear timestamps.

We're changing that.

By transforming astronomical data into 3D time coordinate systems, we're enabling an entirely new category of chronospatial computing—applications that understand and navigate multi-dimensional time.

This is infrastructure that will last decades."

— Kartikeya Mudgal, Founder & Temporal Intelligence Architect

Founding Team

Kartikeya Mudgal

Kartikeya Mudgal

Founder

Temporal Intelligence Advisor

Anushri Gupta

Anushri Gupta

Co-Founder

Design Intelligence Advisor

The Four Pillars of Temporal Intelligence

Our platform is built on four foundational pillars that work together to create computational infrastructure for 3D time coordinates.

Pillar 1: Astronomy (Data Foundation)

Comprehensive Celestial Infrastructure

We provide direct computational access to 109 celestial bodies across the solar system and beyond.

JPL Horizons (NASA/JPL): 49 Solar System Objects
  • Sun and 8 planets (Mercury through Neptune)
  • 5 dwarf planets (Pluto, Ceres, Eris, Makemake, Haumea)
  • 18 major moons (including Moon, Io, Europa, Ganymede, Callisto, Titan, Enceladus, Triton, Charon, Miranda, Ariel, Umbriel, Titania, Oberon, Mimas, Tethys, Dione, Rhea, Iapetus)
  • 4 asteroids (Vesta, Pallas, Hygiea, Juno)
  • 3 comets (Halley, Encke, Tempel 1)
  • 3 centaurs (Chiron, Pholus, Nessus)
  • 5 trans-Neptunian objects (Sedna, Quaoar, Orcus, Varuna, Ixion)
  • 3 Lagrange points
SIMBAD (Centre de Données astronomiques de Strasbourg): 60 Named Stars
  • Major stars from all constellations
  • Including Sirius, Vega, Arcturus, Betelgeuse, Rigel, Polaris, Antares, Aldebaran, Spica, Regulus, Deneb, Capella, Procyon, Canopus, and 46 more
Precision Standards
  • Ephemeris-quality calculations (±0.01 arc-seconds)
  • JPL DE440/DE441 standard compliance
  • Real-time computation (<10ms per calculation)
  • Historical range: 4000+ years validated
  • Geographic integration (observer location adjustments)
What This Provides
  • Foundation for astronomical rigor
  • Input data for temporal coordinate generation
  • Scientific credibility via established data sources
  • Comprehensive celestial coverage (not limited to traditional planetary bodies)

Pillar 2: Chronometry (3D Time Coordinate Engine) ⭐

The Core Innovation: Temporal Coordinate Generation

This is where our proprietary innovation lies—the algorithmic transformation of astronomical positions into 3D time coordinate systems.

The Coordinate Transformation
INPUT: Celestial Body Positions in Space
  • Traditional 3D spatial coordinates
  • Right Ascension, Declination, Distance
  • Ecliptic/Equatorial coordinate systems
↓
ALGORITHMIC PROCESSING
  • Proprietary temporal coordinate algorithms
  • Multi-body integration mathematics
  • Geometric transformations
↓
OUTPUT: 3D Time Coordinates
  • Cartesian: (X_time, Y_time, Z_time)
  • Spherical: (ρ_time, θ_time, φ_time)
  • Temporal geometry: area, volume, distance in time-space
Dual Temporal Systems

We compute two complementary 3D time coordinate systems:

1. SIPS (Micro-Temporal Coordinates)
  • Short-cycle temporal patterns (24-hour to monthly scales)
  • Rapid fluctuations and immediate temporal context
  • Real-time behavioral modulation signals
  • Use case: Minute-by-minute temporal awareness
2. Vortex (Macro-Temporal Coordinates)
  • Long-cycle temporal patterns (yearly to multi-year scales)
  • Developmental trajectories and evolution potential
  • Deep temporal structure
  • Use case: Long-term temporal planning and maturation

Both systems generate:

  • Cartesian coordinates (scale_X, scale_Y, scale_Z)
  • Spherical coordinates (radial_Location, polar_Angle, azimuthal_Angle)
  • Geometric metrics (sphericalCoord_area, sphericalCoord_volume)
  • Temporal metrics (sphericalCoord_Distance, sphericalCoord_Angular)
Flexible Framework Configuration
Option 1: Multi-Body Frameworks (e.g., 9-Calendar System)

Combine multiple celestial bodies into composite temporal framework. Our proprietary 9-Calendar System uses:

  1. Monolith of Stillness (#7F7F7F) - Individuality
  2. Crimson Forge (#FF0000) - Capacity
  3. Ember Serpent (#FF4000) - Flexibility
  4. Solar Loom (#FFFF00) - Stability
  5. Emerald Grid (#00FF00) - Context
  6. Tidal Compass (#00FFC0) - Continuity
  7. Indigo Exile (#0000FF) - Content
  8. Twin Spiral (#FF00FF) - Duality
  9. Ouroboric Gate (#606060) - Connectivity
  • Each calendar generates independent 3D time coordinates
  • Integration creates multi-dimensional temporal intelligence
  • Primary use case: Behavioral Modulation Signal (BMS™)
Option 2: Individual Celestial Coordinates
  • Any single celestial body → one set of 3D time coordinates
  • Examples: Moon-only, Mars-only, Sirius-only frameworks
  • Use case: Domain-specific temporal systems (lunar cycles, Martian time, stellar influences)
Option 3: Custom Combinations
  • Developer-defined celestial body selection
  • Any subset of 109 available bodies
  • Use case: Research, specialized applications, novel temporal frameworks
Option 4: Raw Coordinate Access
  • Direct access to coordinate generation algorithms
  • Build entirely custom temporal systems
  • Use case: Academic research, advanced developers, proprietary systems
Derived Temporal Analyses

Beyond raw coordinates, we compute higher-order temporal metrics:

Lumina Map (Expression Layer)
  • Temporal positioning within cycle (0-360°)
  • Inter-calendar distances and relationships
  • Spatial expression of temporal state
Lumina Coordinate (Maturity Layer)
  • Temporal station (normalized 0-1 maturity)
  • Developmental stage classification
  • Long-term temporal trajectory
Harmony Analysis
  • SIPS ↔ Vortex alignment (micro vs. macro temporal coherence)
  • Harmony quotient (0-1 score)
  • Friction quotient (misalignment measure)
  • Categorical alignment across temporal dimensions
Maturity Analysis
  • Expression intensity (Lumina Map normalized)
  • Maturity quotient (Lumina Coordinate normalized)
  • Development stage: NASCENT, EMERGING, DEVELOPING, ESTABLISHED, MASTERED
  • Expression mode: ACTIVE, PASSIVE
  • Behavioral archetype: SAGE, WARRIOR, GUARDIAN, SEEKER

This pillar represents our core intellectual property—the algorithms that transform astronomical space coordinates into programmable time coordinates.

Pillar 3: Mathematics (Computational Engine)

Coordinate System Mathematics

Our computational engine performs sophisticated mathematical operations to generate and manipulate 3D time coordinates.

Coordinate Transformations
1. Astronomical Ephemerides Processing
  • Ingest celestial positions from JPL Horizons/SIMBAD
  • Geographic adjustment for observer location
  • Time zone and temporal context integration
2. Temporal Coordinate Generation
  • Proprietary algorithms (core IP)
  • Cartesian coordinate mapping (X, Y, Z in time-space)
  • Deterministic (same input = same output)
3. Spherical Representation
  • Convert cartesian to spherical (ρ, θ, φ)
  • Compute radial distance from temporal origin
  • Calculate polar and azimuthal angles
4. Geometric Calculations in Time-Space
  • Surface area of temporal sphere (4πρ²)
  • Volume of temporal sphere (4/3πρ³)
  • Distance between temporal positions
  • Angular separation between temporal coordinates
Multi-Body Integration
  • Combine multiple celestial coordinate sets
  • Weighted composite frameworks
  • Inter-coordinate relationship mathematics
  • Harmony and alignment calculations
Temporal Metrics

From raw coordinates, we derive 180+ parameters per framework generation:

Numeric Metrics (10 per calendar in SIPS/Vortex)
  • Anatomy (-100 to 100): Physical/structural intensity
  • Yield (-100 to 100): Output/productivity potential
  • Culture (-100 to 100): Social/relational influence
  • TimeTravel (-100 to 100): Temporal sensitivity
  • Elevation (-100 to 100): Vertical energy direction
  • Horizon (0 to 360): Angular position in degrees
  • Ground (0 to 100,000): Foundation/stability metric
  • Aura (0 to 5,000,000): Energy field magnitude
  • Magnetism (0 to 1,000): Attraction/pull strength
  • Charge (-100 to 100): Polarity indicator
Categorical Classifications (8 per calendar in SIPS/Vortex)
  • Time Quadrant: Integrated, Fragmented, Disintegrated, Reconstituted
  • Season: Spring, Summer, Autumn, Winter
  • Direction: North, East, South, West
  • Scale: Micro, Human, Supra-Human, Cosmic
  • Phase: Waxing, Peak, Waning, Rest
  • Action Type: Voluntary, Reflexive, Involuntary, Passive
  • Numerical Quotient: Binary, Ternary, Quaternary, Quinary, Senary
  • Stage: Nascent, Action Potential, Established, Completion
Performance Characteristics
  • Real-time computation: <50ms p95 latency
  • Scalable architecture: 10,000+ requests/minute target
  • Deterministic output: Reproducible results
  • Precision: Maintains ephemeris-quality accuracy through transformations

Pillar 4: Design (Developer Interface)

API Architecture for 3D Time Coordinates

We provide multiple abstraction layers, allowing developers to choose their level of engagement with temporal coordinate systems.

Level 1: Raw 3D Time Coordinate APIs

Direct access to coordinate generation:

Raw SIPS API (/api/rawsips/v1)
  • Micro-temporal 3D coordinates
  • Cartesian: scale_X, scale_Y, scale_Z
  • Spherical: radial_Location, polar_Angle, azimuthal_Angle
  • Geometric: sphericalCoord_area, sphericalCoord_volume, sphericalCoord_Distance, sphericalCoord_Angular
  • Single date/time input → coordinate output
  • Support for all 109 celestial bodies
Raw Vortex API (/api/rawvortex/v1)
  • Macro-temporal 3D coordinates
  • Same structure as SIPS (cartesian, spherical, geometric)
  • Semantic mapping: X (span), Y (era), Z (orbit)
  • Long-cycle temporal coordinate system
Celestial Body API (/api/celestial/v1)
  • Individual celestial body 3D time coordinates
  • 109 bodies available (planets, moons, asteroids, comets, stars)
  • Birth position → Present position tracking
  • Distance and angular separation in time-space
  • Flexible for custom temporal frameworks

Use Case: Researchers, advanced developers, academic institutions building custom temporal systems

Level 2: Processed Temporal Framework APIs

Pre-computed temporal intelligence:

Calculate API (/api/external/v1/calculate)
  • Personal time intelligence from birth data
  • 10-component temporal DNA analysis
  • LAST, Node, Direction, Movement, Season, Stage, Time Quadrant, Scale, Numerical Quotient, Aayu
Temporal Intelligence API (/api/temporal/v1)
  • Combined SIPS + Vortex + Lumina Map + Lumina Coordinate
  • Harmony Analysis (micro ↔ macro alignment)
  • Maturity Analysis (expression ↔ development balance)
  • Behavioral archetype classification
  • Multi-tier responses (standard, full, raw)
BMS API (/api/bms/v1)
  • Behavioral Modulation Signals using 9-Calendar framework
  • Processed for application integration
  • Real-time + historical generation
  • Tier system (minimal, standard, full, raw)

Use Case: Developers building time-intelligent applications, AI companies, gaming studios, IoT manufacturers

Level 3: Application APIs

Ready-made temporal intelligence applications:

BMS™ (Behavioral Modulation Signal)
  • First application built on 3D time coordinates
  • Uses 9-Calendar multi-body framework
  • Real-time behavioral modulation for AI agents
  • Plug-and-play integration
Future Applications
  • Lunar-specific behavioral systems
  • Mars mission temporal intelligence
  • Stellar influence frameworks
  • Domain-specific temporal applications

Use Case: Non-technical buyers, fast integration, SaaS-style experience

Real-Time Streaming

WebSocket APIs:

  • BMS Stream (wss://os.retrogradeobservatory.com/api/bms/v1/stream)
  • Temporal Intelligence Stream (wss://os.retrogradeobservatory.com/api/temporal/v1/stream)
  • Real-time 3D time coordinate updates
  • Push intervals: 1-60 seconds configurable
  • Event-driven architecture
Developer SDKs
JavaScript/TypeScript SDK (@retrograde/observatory-sdk)
  • Full type safety
  • Auto-reconnection
  • Event-driven architecture
  • Browser + Node.js support
Python SDK (retrograde-observatory-sdk)
  • Async/await support
  • Decorator-based event handling
  • Context manager support
  • Type hints (dataclasses)
Lumina SDK (JavaScript + Python)
  • Specialized for BMS and Temporal Intelligence streams
  • Async iterators for data streaming
  • LLM integration helpers
  • AI/ML-focused design
Progressive Complexity Model

Developers can start simple and graduate to complexity:

  1. Start: Use BMS API for plug-and-play behavioral modulation
  2. Customize: Access Temporal Intelligence API for more control
  3. Extend: Use individual celestial coordinate APIs for domain-specific needs
  4. Research: Access raw 3D time coordinates for novel temporal systems

This design philosophy maximizes addressable market—from non-technical users to PhD researchers.

Frequently Asked Questions

It's computational infrastructure that provides 3D time coordinates instead of simple timestamps. Just like GPS gives you (latitude, longitude) for location, we give you (X, Y, Z) coordinates for time, personalized to any reference point you choose.

Regular timestamps are 1-dimensional scalars (seconds since 1970). Our temporal coordinates are 3-dimensional vectors based on actual celestial mechanics, giving you multi-scale temporal intelligence instead of just sequential time.

No. Our APIs handle all astronomical computation. You just specify a reference date and which celestial bodies you want to track. We return clean 3D coordinates ready for integration.

AI agents with genuine temporal identity, IoT devices that track from first use, research studies with custom temporal frameworks, games with realistic celestial-based time progression, and much more.

We maintain ephemeris-quality precision (±0.01 arc-seconds), using JPL DE440/DE441 standards. The same data NASA uses for spacecraft navigation.

Try our interactive playground at compute.retrogradeobservatory.com, then explore our API documentation. We offer free tier access for developers to experiment.

We provide SDKs for JavaScript/TypeScript and Python, plus a REST API that works with any language. WebSocket streaming is also available for real-time applications.

Yes. We offer commercial licensing for production use. Contact us at evolve@retrogradeobservatory.com to discuss your use case.

Have more questions?

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Contact Us

Get in touch with the Retrograde Observatory team