{"id":"vidhyamitra:city-day:mathura:2000-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2000-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-05-21","date_display":"May 21, 2000 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451685.770833,"kali_year":5102,"ahargana":1863220.2708,"sun":{"sidereal_longitude":36.3877,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":249.5769,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.1891,"elapsed_within_tithi_degrees":9.1891},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.5769,"elapsed_within_degrees":9.5769},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.9646},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2000,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451685.770833,"ahargana":1863220.2708,"kali_year":5102,"ayanamsa_lahiri":23.8584,"grahas":{"sun":{"sidereal_longitude":36.444432000000006,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":246.70563199999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":2.1142},"mars":{"sidereal_longitude":48.11553200000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":50.12113199999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":27.051932000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":30.683532000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":27.857932000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":97.6236,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.6236,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451685.770833,"kali_year":5102,"ahargana":1863220.2708,"sun":{"sidereal_longitude":36.3877,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":249.5769,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":213.1891,"elapsed_within_tithi_degrees":9.1891},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.5769,"elapsed_within_degrees":9.5769},"yoga":{"number":22,"name":"Sādhya","sum_longitude":285.9646},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.114,"elongation":146.811},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.114,"opposition_distance":33.189}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:27","sunsetLocal":"19:04","solarNoonLocal":"12:16","dayLengthHours":13.608938897992793,"dayLengthDisplay":"13 Hours 36 Mins 32 Secs","nightLengthDisplay":"10 Hours 23 Mins 28 Secs","moonriseLocal":"21:06","moonsetLocal":"07:28","rahuKala":{"name":"Rāhu Kāla","start":"17:22","end":"19:04","startHours":17.366115123705995,"endHours":19.067232485955095,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:58","startHours":12.262763036958699,"endHours":13.963880399207799,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:40","end":"17:22","startHours":15.664997761456899,"endHours":17.366115123705995,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:05","startHours":8.633712664160623,"endHours":9.087343960760382,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:23","startHours":6.0253327087120025,"endHours":6.388237745991811,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.80913174035894,"endHours":12.716394333558458,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:33","startHours":3.643768401563264,"endHours":4.551030994762783,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:27","startHours":4.324215346462903,"endHours":5.458293587962303,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:26","startHours":14.530919519957497,"endHours":15.438182113157016,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.867232485955096,"endHours":19.267232485955095,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.067232485955095,"endHours":19.634271606704797,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.817232485955095,"endHours":20.567232485955095,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80913174035894,"endHours":24.71639433355846,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:27","end":"07:10","startHours":5.458293587962303,"endHours":7.159410950211402,"quality":"inauspicious"},{"name":"Chala","start":"07:10","end":"08:52","startHours":7.159410950211402,"endHours":8.860528312460502,"quality":"neutral"},{"name":"Labha","start":"08:52","end":"10:34","startHours":8.860528312460502,"endHours":10.5616456747096,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:16","startHours":10.5616456747096,"endHours":12.262763036958699,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:58","startHours":12.262763036958699,"endHours":13.963880399207799,"quality":"inauspicious"},{"name":"Śubha","start":"13:58","end":"15:40","startHours":13.963880399207799,"endHours":15.664997761456899,"quality":"auspicious"},{"name":"Roga","start":"15:40","end":"17:22","startHours":15.664997761456899,"endHours":17.366115123705995,"quality":"inauspicious"},{"name":"Udveg","start":"17:22","end":"19:04","startHours":17.366115123705995,"endHours":19.067232485955095,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:04","end":"20:22","startHours":19.067232485955095,"endHours":20.366115123705995,"quality":"auspicious"},{"name":"Roga","start":"20:22","end":"21:40","startHours":20.366115123705995,"endHours":21.664997761456895,"quality":"inauspicious"},{"name":"Udveg","start":"21:40","end":"22:58","startHours":21.664997761456895,"endHours":22.9638803992078,"quality":"inauspicious"},{"name":"Chala","start":"22:58","end":"00:16","startHours":22.9638803992078,"endHours":24.2627630369587,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:34","startHours":24.2627630369587,"endHours":25.5616456747096,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:52","startHours":25.5616456747096,"endHours":26.860528312460502,"quality":"auspicious"},{"name":"Kāla","start":"02:52","end":"04:10","startHours":26.860528312460502,"endHours":28.159410950211402,"quality":"inauspicious"},{"name":"Śubha","start":"04:10","end":"05:27","startHours":28.159410950211402,"endHours":29.458293587962302,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.458293587962303,"endHours":6.458293587962303,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.458293587962303,"endHours":7.458293587962303,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.458293587962303,"endHours":8.458293587962302,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.458293587962302,"endHours":9.458293587962302,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.458293587962302,"endHours":10.458293587962302,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.458293587962302,"endHours":11.458293587962302,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.458293587962302,"endHours":12.458293587962302,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.458293587962302,"endHours":13.458293587962302,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.458293587962302,"endHours":14.458293587962302,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.458293587962302,"endHours":15.458293587962302,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.458293587962302,"endHours":16.458293587962302,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.458293587962302,"endHours":17.458293587962302,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.458293587962302,"endHours":18.458293587962302,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.458293587962302,"endHours":19.458293587962302,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.458293587962302,"endHours":20.458293587962302,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.458293587962302,"endHours":21.458293587962302,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.458293587962302,"endHours":22.458293587962302,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.458293587962302,"endHours":23.458293587962302,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.458293587962302,"endHours":24.458293587962302,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.458293587962302,"endHours":25.458293587962302,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.458293587962302,"endHours":26.458293587962302,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.458293587962302,"endHours":27.458293587962302,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.458293587962302,"endHours":28.458293587962302,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.458293587962302,"endHours":29.458293587962302,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.211874283437375,"eotMinutes":3.539417782478063,"ayanamsa":23.8584}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Tṛtīyā · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 21, 2000 CE · Mathurā · Vidhyamitra","description":"May 21, 2000 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:27, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2000-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2000-05-21","sa":"https://sa.vidhyamitra.com/city/mathura/2000-05-21","hi":"https://hi.vidhyamitra.com/city/mathura/2000-05-21","x-default":"https://vidhyamitra.com/city/mathura/2000-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:40:04.482Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T11:40:04.482Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:40:04.482Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}