ESA PB05-Style Brouwer–Lyddane Averaged-Element Orbit Propagator (J2–J6 + Luni-solar)

Advanced correlation analysis tool that calculates correlation coefficients between variables to measure the strength and direction of their linear relationships. Perfect for statistical analysis, financial modeling, scientific research, and data exploration. Features: - Multiple correlation methods (Pearson, Spearman, Kendall) - Correlation matrix generation - Statistical significance testing (p-values) - Confidence intervals calculation - Heatmap visualization - Scatter plot matrix generation - Missing value handling strategies - Outlier detection and handling - Group analysis capabilities - Detailed statistical reports Common Use Cases: - Financial market analysis and risk assessment - Scientific research and hypothesis testing - Customer behavior and marketing analysis - Healthcare and medical data analysis - Quality control and process optimization - Educational performance evaluation

Extract a dominant color palette from an image (k-means clustering), then export it as CSS variables, SCSS variables, a Tailwind config, or JSON design tokens — with named colors and an auto-generated shade scale for each

Side-by-side monthly rent-vs-buy simulation: mortgage amortization, property tax, insurance, HOA and maintenance against rent plus renter insurance; the renter invests the down payment and monthly savings at an opportunity-cost rate. Outputs break-even year on net sale proceeds, per-year differential NPV, SALT-cap-aware after-tax cash flows, a differential IRR, and a ±20% tornado sensitivity chart.

Compute the minor (local) head loss and pressure drop for pipe fittings, valves and bends: h_m = K·v²/(2g), ΔP_m = K·ρ·v²/2. Ships typical K values for 14 common components (gate/globe/check/angle/ball valves, 90°/45° elbows, tees, sudden contraction/expansion, sharp entrance/exit); choose a preset or supply a custom K. Supports n identical fittings in series. Returns head loss (m, ft) and pressure drop (Pa, kPa, bar). Density in kg/m³, g/cm³ or lb/ft³.