{"id":"vidhyamitra:city-day:pushkar:2001-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2001-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-05-21","date_display":"May 21, 2001 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":2001,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452050.770833,"kali_year":5103,"ahargana":1863585.2708,"sun":{"sidereal_longitude":36.1405,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":9.4132,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.2727,"elapsed_within_tithi_degrees":9.2727},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.4132,"elapsed_within_degrees":9.4132},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5536},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2001,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452050.770833,"ahargana":1863585.2708,"kali_year":5103,"ayanamsa_lahiri":23.8723,"grahas":{"sun":{"sidereal_longitude":36.19778600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":10.270085999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":-4.1969},"mars":{"sidereal_longitude":244.54158600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":58.618885999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":53.97418600000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":351.819286,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":39.858885999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.2842,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.2842,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2001,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452050.770833,"kali_year":5103,"ahargana":1863585.2708,"sun":{"sidereal_longitude":36.1405,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":9.4132,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.2727,"elapsed_within_tithi_degrees":9.2727},"nakshatra":{"number":1,"name":"Aśvinī","pada":3,"moon_longitude":9.4132,"elapsed_within_degrees":9.4132},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5536},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.197,"elongation":26.727},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.197,"opposition_distance":153.273}},"eclipse_window_40days":[]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"05:42","sunsetLocal":"19:14","solarNoonLocal":"12:28","dayLengthHours":13.54059344919201,"dayLengthDisplay":"13 Hours 32 Mins 26 Secs","nightLengthDisplay":"10 Hours 27 Mins 34 Secs","moonriseLocal":"04:16","moonsetLocal":"17:13","rahuKala":{"name":"Rāhu Kāla","start":"07:24","end":"09:05","startHours":7.393287160178363,"endHours":9.085861341327364,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:47","end":"12:28","startHours":10.778435522476364,"endHours":12.471009703625366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:10","end":"15:51","startHours":14.163583884774368,"endHours":15.856158065923369,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:19","startHours":8.86018478384083,"endHours":9.311537898813897,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:38","startHours":6.264904372745695,"endHours":6.625986864724148,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:55","startHours":12.0196565886523,"endHours":12.922362818598433,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.895300519137094,"endHours":4.798006749083228,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:42","startHours":4.572330191596695,"endHours":5.700712979029362,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:38","startHours":14.7277752784907,"endHours":15.630481508436834,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.04130642822137,"endHours":19.44130642822137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:48","startHours":19.24130642822137,"endHours":19.805497821937706,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.99130642822137,"endHours":20.74130642822137,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:55","startHours":24.0196565886523,"endHours":24.922362818598433,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:42","end":"07:24","startHours":5.700712979029362,"endHours":7.393287160178363,"quality":"auspicious"},{"name":"Kāla","start":"07:24","end":"09:05","startHours":7.393287160178363,"endHours":9.085861341327364,"quality":"inauspicious"},{"name":"Śubha","start":"09:05","end":"10:47","startHours":9.085861341327364,"endHours":10.778435522476364,"quality":"auspicious"},{"name":"Roga","start":"10:47","end":"12:28","startHours":10.778435522476364,"endHours":12.471009703625366,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"14:10","startHours":12.471009703625366,"endHours":14.163583884774368,"quality":"inauspicious"},{"name":"Chala","start":"14:10","end":"15:51","startHours":14.163583884774368,"endHours":15.856158065923369,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:33","startHours":15.856158065923369,"endHours":17.54873224707237,"quality":"auspicious"},{"name":"Amṛta","start":"17:33","end":"19:14","startHours":17.54873224707237,"endHours":19.24130642822137,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:14","end":"20:33","startHours":19.24130642822137,"endHours":20.54873224707237,"quality":"neutral"},{"name":"Labha","start":"20:33","end":"21:51","startHours":20.54873224707237,"endHours":21.856158065923367,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:10","startHours":21.856158065923367,"endHours":23.16358388477437,"quality":"auspicious"},{"name":"Kāla","start":"23:10","end":"00:28","startHours":23.16358388477437,"endHours":24.471009703625366,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"01:47","startHours":24.471009703625366,"endHours":25.778435522476364,"quality":"auspicious"},{"name":"Roga","start":"01:47","end":"03:05","startHours":25.778435522476364,"endHours":27.085861341327366,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:24","startHours":27.085861341327366,"endHours":28.393287160178364,"quality":"inauspicious"},{"name":"Chala","start":"04:24","end":"05:42","startHours":28.393287160178364,"endHours":29.700712979029362,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.700712979029362,"endHours":6.700712979029362,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.700712979029362,"endHours":7.700712979029362,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.700712979029362,"endHours":8.700712979029362,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.700712979029362,"endHours":9.700712979029362,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.700712979029362,"endHours":10.700712979029362,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.700712979029362,"endHours":11.700712979029362,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.700712979029362,"endHours":12.700712979029362,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.700712979029362,"endHours":13.700712979029362,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.700712979029362,"endHours":14.700712979029362,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.700712979029362,"endHours":15.700712979029362,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.700712979029362,"endHours":16.700712979029362,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.700712979029362,"endHours":17.700712979029362,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.700712979029362,"endHours":18.700712979029362,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.700712979029362,"endHours":19.700712979029362,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.700712979029362,"endHours":20.700712979029362,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.700712979029362,"endHours":21.700712979029362,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.700712979029362,"endHours":22.700712979029362,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.700712979029362,"endHours":23.700712979029362,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.700712979029362,"endHours":24.700712979029362,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.700712979029362,"endHours":25.700712979029362,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.700712979029362,"endHours":26.700712979029362,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.700712979029362,"endHours":27.700712979029362,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.700712979029362,"endHours":28.700712979029362,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.700712979029362,"endHours":29.700712979029362,"planetary_lord":"Venus"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","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":20.1628377813664,"eotMinutes":3.539417782478063,"ayanamsa":23.8723}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"pushkar"},"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, 2001 CE · Puṣkar · Vidhyamitra","description":"May 21, 2001 CE for Puṣkar: Kṛṣṇa Trayodaśī, sūryodaya 05:42, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2001-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2001-05-21","sa":"https://sa.vidhyamitra.com/city/pushkar/2001-05-21","hi":"https://hi.vidhyamitra.com/city/pushkar/2001-05-21","x-default":"https://vidhyamitra.com/city/pushkar/2001-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T20:27:22.001Z","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":"2026-05-16T20:27:22.001Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T20:27:22.001Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}