{"id":"vidhyamitra:city-day:ranchi:2001-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2001-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-09-20","date_display":"September 20, 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":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452172.770833,"kali_year":5103,"ahargana":1863707.2708,"sun":{"sidereal_longitude":152.5386,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":187.6285,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.0899,"elapsed_within_tithi_degrees":11.0899},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.6285,"elapsed_within_degrees":0.9618},"yoga":{"number":26,"name":"Indra","sum_longitude":340.1671},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452172.770833,"ahargana":1863707.2708,"kali_year":5103,"ayanamsa_lahiri":23.877,"grahas":{"sun":{"sidereal_longitude":153.279225,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":189.36382500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":4.0504},"mars":{"sidereal_longitude":252.21512499999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":179.73282500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":78.78952500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":124.85942499999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":50.98202500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":71.82,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":251.82,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2001,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452172.770833,"kali_year":5103,"ahargana":1863707.2708,"sun":{"sidereal_longitude":152.5386,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":187.6285,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.0899,"elapsed_within_tithi_degrees":11.0899},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.6285,"elapsed_within_degrees":0.9618},"yoga":{"number":26,"name":"Indra","sum_longitude":340.1671},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.05,"elongation":35.09},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.05,"opposition_distance":144.91}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:36","sunsetLocal":"17:47","solarNoonLocal":"11:41","dayLengthHours":12.186078562299532,"dayLengthDisplay":"12 Hours 11 Mins 10 Secs","nightLengthDisplay":"11 Hours 48 Mins 50 Secs","moonriseLocal":"08:25","moonsetLocal":"19:46","rahuKala":{"name":"Rāhu Kāla","start":"13:13","end":"14:44","startHours":13.213504574261535,"endHours":14.736764394548977,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:36","end":"07:07","startHours":5.597205472824328,"endHours":7.120465293111769,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:10","startHours":8.64372511339921,"endHours":10.166984933686653,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:51","startHours":8.440623804027553,"endHours":8.846826422770869,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:26","startHours":6.104958746253475,"endHours":6.429920841248129,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:17","end":"12:06","startHours":11.284042135230775,"endHours":12.096447372717412,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:47","startHours":3.9723949978510573,"endHours":4.784800235337692,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:36","startHours":4.581698925966034,"endHours":5.597205472824328,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:32","startHours":13.721257847690682,"endHours":14.533663085177317,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.58328403512386,"endHours":17.98328403512386,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:17","startHours":17.78328403512386,"endHours":18.29103730855301,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.53328403512386,"endHours":19.28328403512386,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:17","end":"00:06","startHours":23.284042135230774,"endHours":24.09644737271741,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:36","end":"07:07","startHours":5.597205472824328,"endHours":7.120465293111769,"quality":"auspicious"},{"name":"Roga","start":"07:07","end":"08:39","startHours":7.120465293111769,"endHours":8.64372511339921,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:10","startHours":8.64372511339921,"endHours":10.166984933686653,"quality":"inauspicious"},{"name":"Chala","start":"10:10","end":"11:41","startHours":10.166984933686653,"endHours":11.690244753974094,"quality":"neutral"},{"name":"Labha","start":"11:41","end":"13:13","startHours":11.690244753974094,"endHours":13.213504574261535,"quality":"auspicious"},{"name":"Amṛta","start":"13:13","end":"14:44","startHours":13.213504574261535,"endHours":14.736764394548977,"quality":"auspicious"},{"name":"Kāla","start":"14:44","end":"16:16","startHours":14.736764394548977,"endHours":16.26002421483642,"quality":"inauspicious"},{"name":"Śubha","start":"16:16","end":"17:47","startHours":16.26002421483642,"endHours":17.78328403512386,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:16","startHours":17.78328403512386,"endHours":19.260024214836417,"quality":"auspicious"},{"name":"Kāla","start":"19:16","end":"20:44","startHours":19.260024214836417,"endHours":20.736764394548977,"quality":"inauspicious"},{"name":"Śubha","start":"20:44","end":"22:13","startHours":20.736764394548977,"endHours":22.213504574261535,"quality":"auspicious"},{"name":"Roga","start":"22:13","end":"23:41","startHours":22.213504574261535,"endHours":23.690244753974092,"quality":"inauspicious"},{"name":"Udveg","start":"23:41","end":"01:10","startHours":23.690244753974092,"endHours":25.166984933686653,"quality":"inauspicious"},{"name":"Chala","start":"01:10","end":"02:39","startHours":25.166984933686653,"endHours":26.64372511339921,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:07","startHours":26.64372511339921,"endHours":28.12046529311177,"quality":"auspicious"},{"name":"Amṛta","start":"04:07","end":"05:36","startHours":28.12046529311177,"endHours":29.597205472824328,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.597205472824328,"endHours":6.597205472824328,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.597205472824328,"endHours":7.597205472824328,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.597205472824328,"endHours":8.597205472824328,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.597205472824328,"endHours":9.597205472824328,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.597205472824328,"endHours":10.597205472824328,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.597205472824328,"endHours":11.597205472824328,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.597205472824328,"endHours":12.597205472824328,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.597205472824328,"endHours":13.597205472824328,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.597205472824328,"endHours":14.597205472824328,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.597205472824328,"endHours":15.597205472824328,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.597205472824328,"endHours":16.597205472824328,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.597205472824328,"endHours":17.597205472824328,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.597205472824328,"endHours":18.597205472824328,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.597205472824328,"endHours":19.597205472824328,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.597205472824328,"endHours":20.597205472824328,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.597205472824328,"endHours":21.597205472824328,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.597205472824328,"endHours":22.597205472824328,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.597205472824328,"endHours":23.597205472824328,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.597205472824328,"endHours":24.597205472824328,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.597205472824328,"endHours":25.597205472824328,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.597205472824328,"endHours":26.597205472824328,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.597205472824328,"endHours":27.597205472824328,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.597205472824328,"endHours":28.597205472824328,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.597205472824328,"endHours":29.597205472824328,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.1306706841199137,"eotMinutes":7.346914761554353,"ayanamsa":23.877}},"calendars":{"vikram_samvat":2058,"vikram_samvatsara":"Jaya","saka_samvat":1923,"saka_samvatsara":"Vṛṣa","bengali_samvat":1408,"malayalam_era":1177,"nanakshahi_year":532,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Tṛtīyā · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[{"id":"varaha-jayanti","name":"Varāha Jayantī","name_sanskrit":"वराह जयन्ती","tradition":"Vaishnava","associated_deity":"Varāha (3rd daśāvatāra of Krishna)","deity_avatara_index":12,"significance":"Varāha lifted Bhū-Devī from the cosmic ocean.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4,"sources":["Bhāgavata 3.13"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 20, 2001 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 20, 2001 CE for Ranchi, Jharkhand: Śukla Tṛtīyā, sūryodaya 05:36, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2001-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2001-09-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2001-09-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2001-09-20","x-default":"https://vidhyamitra.com/city/ranchi/2001-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:27:27.303Z","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":"2026-06-01T01:27:27.303Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:27:27.303Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}