{"id":"vidhyamitra:city-day:ranchi:2001-09-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2001-09-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2001-09-03","date_display":"September 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452155.770833,"kali_year":5103,"ahargana":1863690.2708,"sun":{"sidereal_longitude":136.0458,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":318.5781,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5323,"elapsed_within_tithi_degrees":2.5323},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.5781,"elapsed_within_degrees":11.9115},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6239},"karana":{"half_tithi_index":30,"name":"Bālava"},"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":9,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452155.770833,"ahargana":1863690.2708,"kali_year":5103,"ayanamsa_lahiri":23.8764,"grahas":{"sun":{"sidereal_longitude":136.743674,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":318.1119739999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-4.1057},"mars":{"sidereal_longitude":243.29947400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":158.99397399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":76.323374,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":104.32027400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":50.51577400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":72.7207,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":252.7207,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452155.770833,"kali_year":5103,"ahargana":1863690.2708,"sun":{"sidereal_longitude":136.0458,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":318.5781,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5323,"elapsed_within_tithi_degrees":2.5323},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.5781,"elapsed_within_degrees":11.9115},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.6239},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.106,"elongation":177.468},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.106,"opposition_distance":2.532}},"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":"05:31","sunsetLocal":"18:04","solarNoonLocal":"11:48","dayLengthHours":12.561519734326788,"dayLengthDisplay":"12 Hours 33 Mins 41 Secs","nightLengthDisplay":"11 Hours 26 Mins 19 Secs","moonriseLocal":"18:03","moonsetLocal":"05:43","rahuKala":{"name":"Rāhu Kāla","start":"07:05","end":"08:39","startHours":7.082915364618178,"endHours":8.653105331409026,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:13","end":"11:48","startHours":10.223295298199876,"endHours":11.793485264990725,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:22","end":"14:56","startHours":13.363675231781572,"endHours":14.933865198572422,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.443746669170247,"endHours":8.862463993647808,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:22","startHours":6.036122053424279,"endHours":6.371095913006327,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:22","end":"12:13","startHours":11.374767940513165,"endHours":12.212202589468285,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:41","startHours":3.8378560999170914,"endHours":4.675290748872211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:31","startHours":4.465932086633431,"endHours":5.51272539782733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:43","startHours":13.887071887378521,"endHours":14.72450653633364,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.87424513215412,"endHours":18.274245132154117,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:36","startHours":18.074245132154118,"endHours":18.59764178775107,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.824245132154118,"endHours":19.574245132154118,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:22","end":"00:13","startHours":23.374767940513166,"endHours":24.212202589468284,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:31","end":"07:05","startHours":5.51272539782733,"endHours":7.082915364618178,"quality":"auspicious"},{"name":"Kāla","start":"07:05","end":"08:39","startHours":7.082915364618178,"endHours":8.653105331409026,"quality":"inauspicious"},{"name":"Śubha","start":"08:39","end":"10:13","startHours":8.653105331409026,"endHours":10.223295298199876,"quality":"auspicious"},{"name":"Roga","start":"10:13","end":"11:48","startHours":10.223295298199876,"endHours":11.793485264990725,"quality":"inauspicious"},{"name":"Udveg","start":"11:48","end":"13:22","startHours":11.793485264990725,"endHours":13.363675231781572,"quality":"inauspicious"},{"name":"Chala","start":"13:22","end":"14:56","startHours":13.363675231781572,"endHours":14.933865198572422,"quality":"neutral"},{"name":"Labha","start":"14:56","end":"16:30","startHours":14.933865198572422,"endHours":16.50405516536327,"quality":"auspicious"},{"name":"Amṛta","start":"16:30","end":"18:04","startHours":16.50405516536327,"endHours":18.074245132154118,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:04","end":"19:30","startHours":18.074245132154118,"endHours":19.50405516536327,"quality":"neutral"},{"name":"Labha","start":"19:30","end":"20:56","startHours":19.50405516536327,"endHours":20.93386519857242,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:22","startHours":20.93386519857242,"endHours":22.36367523178157,"quality":"auspicious"},{"name":"Kāla","start":"22:22","end":"23:48","startHours":22.36367523178157,"endHours":23.793485264990725,"quality":"inauspicious"},{"name":"Śubha","start":"23:48","end":"01:13","startHours":23.793485264990725,"endHours":25.223295298199876,"quality":"auspicious"},{"name":"Roga","start":"01:13","end":"02:39","startHours":25.223295298199876,"endHours":26.653105331409026,"quality":"inauspicious"},{"name":"Udveg","start":"02:39","end":"04:05","startHours":26.653105331409026,"endHours":28.08291536461818,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:31","startHours":28.08291536461818,"endHours":29.51272539782733,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.51272539782733,"endHours":6.51272539782733,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.51272539782733,"endHours":7.51272539782733,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.51272539782733,"endHours":8.51272539782733,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.51272539782733,"endHours":9.51272539782733,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.51272539782733,"endHours":10.51272539782733,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.51272539782733,"endHours":11.51272539782733,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.51272539782733,"endHours":12.51272539782733,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.51272539782733,"endHours":13.51272539782733,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.51272539782733,"endHours":14.51272539782733,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.51272539782733,"endHours":15.51272539782733,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.51272539782733,"endHours":16.51272539782733,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.51272539782733,"endHours":17.51272539782733,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.51272539782733,"endHours":18.51272539782733,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.51272539782733,"endHours":19.51272539782733,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.51272539782733,"endHours":20.51272539782733,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.51272539782733,"endHours":21.51272539782733,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.51272539782733,"endHours":22.51272539782733,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.51272539782733,"endHours":23.51272539782733,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.51272539782733,"endHours":24.51272539782733,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.51272539782733,"endHours":25.51272539782733,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.51272539782733,"endHours":26.51272539782733,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.51272539782733,"endHours":27.51272539782733,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.51272539782733,"endHours":28.51272539782733,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.51272539782733,"endHours":29.51272539782733,"planetary_lord":"Venus"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.584013537326934,"eotMinutes":1.1524841005564963,"ayanamsa":23.8764}},"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 (Adhika) Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Kṛṣṇa Pratipada · Vikram 2058 Jaya · Śaka 1923 Vṛṣa"},"festivals":[],"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":[]},"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 3, 2001 CE · Ranchi, Jharkhand · Vidhyamitra","description":"September 3, 2001 CE for Ranchi, Jharkhand: Kṛṣṇa Pratipada, sūryodaya 05:31, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2001-09-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2001-09-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2001-09-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2001-09-03","x-default":"https://vidhyamitra.com/city/ranchi/2001-09-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:58:42.674Z","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":"2026-06-01T03:58:42.674Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:58:42.674Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}