import type { Engine } from "./chart.js";
export declare const PARAN_ANGLES: readonly ["rise", "mtransit", "set", "itransit"];
export declare const DEFAULT_PARAN_BODIES: string[];
/** One co-angular pair: bodies `a` and `b` on the named angles at ~the same time. */
export interface Paran {
    a: string;
    a_angle: string;
    b: string;
    b_angle: string;
    /** Midpoint instant of the two angle crossings, Julian Day (UT). */
    jd: number;
    /** Gap between the two crossings, minutes. */
    gap_min: number;
}
/**
 * Co-angular pairs over the 24 hours from `jd` (UT) at latitude `lat`: every
 * pair of different bodies whose angle crossings fall within `toleranceMin`
 * minutes. Ordered by (a, b, jd), with `a` < `b` by name.
 *
 * @param engine The engine used to evaluate rise/set/transit times.
 * @param jd Julian Day in UT (the 24-hour window starts here).
 * @param lat Geographic latitude in degrees, north positive.
 * @param bodies Bodies to consider; defaults to the seven classical planets.
 * @param toleranceMin The paran window in minutes (default 30).
 * @returns The co-angular pairs as {@link Paran} objects.
 */
export declare function parans(engine: Engine, jd: number, lat: number, bodies?: string[], toleranceMin?: number): Paran[];
/**
 * The four angle crossings of a fixed `star` over the day from `jd` at latitude
 * `lat`: the meridian transits always occur; `rise`/`set` are absent when the
 * star is circumpolar or never rises.
 */
export declare function starAngleTimes(engine: Engine, star: string, jd: number, lat: number): Record<string, number>;
/** One star-to-body paran: a fixed star and a body on angles at ~the same time. */
export interface StarParan {
    star: string;
    star_angle: string;
    body: string;
    body_angle: string;
    jd: number;
    gap_min: number;
}
/**
 * Star-to-body parans over the day from `jd` (UT) at latitude `lat`: a fixed
 * star and a moving body simultaneously on angles within `toleranceMin`
 * minutes — Brady's fixed-star parans. Ordered by (star, body, jd).
 *
 * @param engine An engine whose data pack includes the fixed-star catalog.
 * @param jd Julian Day in UT (the 24-hour window starts here).
 * @param lat Geographic latitude in degrees, north positive.
 * @param stars Catalog star names to test (see {@link Engine.starNames}).
 * @param bodies Bodies to consider; defaults to the seven classical planets.
 * @param toleranceMin The paran window in minutes (default 30).
 */
export declare function starParans(engine: Engine, jd: number, lat: number, stars: string[], bodies?: string[], toleranceMin?: number): StarParan[];