{"id":"vidhyamitra:city-day:ranchi:2147-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2147-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2147-10-03","date_display":"October 3, 2147 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":2147,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505510.770833,"kali_year":5249,"ahargana":1917045.2708,"sun":{"sidereal_longitude":162.5451,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":259.9849,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.4398,"elapsed_within_tithi_degrees":1.4398},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.9849,"elapsed_within_degrees":6.6515},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.5299},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2147,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2505510.770833,"ahargana":1917045.2708,"kali_year":5249,"ayanamsa_lahiri":25.917,"grahas":{"sun":{"sidereal_longitude":163.649321,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":257.98282100000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":3.2207},"mars":{"sidereal_longitude":162.52902100000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":146.89962100000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":170.877121,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":184.34002099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":32.00052099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.7161,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.7161,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2147,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2505510.770833,"kali_year":5249,"ahargana":1917045.2708,"sun":{"sidereal_longitude":162.5451,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":259.9849,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.4398,"elapsed_within_tithi_degrees":1.4398},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.9849,"elapsed_within_degrees":6.6515},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.5299},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.221,"elongation":97.44},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.221,"opposition_distance":82.56}},"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":"05:40","sunsetLocal":"17:34","solarNoonLocal":"11:37","dayLengthHours":11.902819516612858,"dayLengthDisplay":"11 Hours 54 Mins 10 Secs","nightLengthDisplay":"12 Hours 05 Mins 50 Secs","moonriseLocal":"12:33","moonsetLocal":"23:15","rahuKala":{"name":"Rāhu Kāla","start":"14:36","end":"16:05","startHours":14.591826061127291,"endHours":16.0796785007039,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:38","end":"10:08","startHours":8.640416302820862,"endHours":10.12826874239747,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:37","end":"13:06","startHours":11.616121181974076,"endHours":13.103973621550683,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.44203597754398,"endHours":8.838796628097743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:29","startHours":6.160662236859849,"endHours":6.478070757302859,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:13","end":"12:01","startHours":11.219360531420314,"endHours":12.012881832527839,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:52","startHours":4.077668821452599,"endHours":4.871190122560123,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:40","startHours":4.672809797283242,"endHours":5.664711423667647,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:24","startHours":13.599924434742885,"endHours":14.393445735850408,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.367530940280506,"endHours":17.767530940280505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:04","startHours":17.567530940280506,"endHours":18.063481753472708,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.317530940280506,"endHours":19.067530940280506,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:13","end":"00:01","startHours":23.219360531420314,"endHours":24.01288183252784,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:40","end":"07:09","startHours":5.664711423667647,"endHours":7.1525638632442545,"quality":"inauspicious"},{"name":"Udveg","start":"07:09","end":"08:38","startHours":7.1525638632442545,"endHours":8.640416302820862,"quality":"inauspicious"},{"name":"Chala","start":"08:38","end":"10:08","startHours":8.640416302820862,"endHours":10.12826874239747,"quality":"neutral"},{"name":"Labha","start":"10:08","end":"11:37","startHours":10.12826874239747,"endHours":11.616121181974076,"quality":"auspicious"},{"name":"Amṛta","start":"11:37","end":"13:06","startHours":11.616121181974076,"endHours":13.103973621550683,"quality":"auspicious"},{"name":"Kāla","start":"13:06","end":"14:36","startHours":13.103973621550683,"endHours":14.591826061127291,"quality":"inauspicious"},{"name":"Śubha","start":"14:36","end":"16:05","startHours":14.591826061127291,"endHours":16.0796785007039,"quality":"auspicious"},{"name":"Roga","start":"16:05","end":"17:34","startHours":16.0796785007039,"endHours":17.567530940280506,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:34","end":"19:05","startHours":17.567530940280506,"endHours":19.0796785007039,"quality":"inauspicious"},{"name":"Śubha","start":"19:05","end":"20:36","startHours":19.0796785007039,"endHours":20.591826061127293,"quality":"auspicious"},{"name":"Roga","start":"20:36","end":"22:06","startHours":20.591826061127293,"endHours":22.103973621550683,"quality":"inauspicious"},{"name":"Udveg","start":"22:06","end":"23:37","startHours":22.103973621550683,"endHours":23.616121181974076,"quality":"inauspicious"},{"name":"Chala","start":"23:37","end":"01:08","startHours":23.616121181974076,"endHours":25.12826874239747,"quality":"neutral"},{"name":"Labha","start":"01:08","end":"02:38","startHours":25.12826874239747,"endHours":26.64041630282086,"quality":"auspicious"},{"name":"Amṛta","start":"02:38","end":"04:09","startHours":26.64041630282086,"endHours":28.152563863244254,"quality":"auspicious"},{"name":"Kāla","start":"04:09","end":"05:40","startHours":28.152563863244254,"endHours":29.664711423667647,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.664711423667647,"endHours":6.664711423667647,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.664711423667647,"endHours":7.664711423667647,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.664711423667647,"endHours":8.664711423667647,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.664711423667647,"endHours":9.664711423667647,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.664711423667647,"endHours":10.664711423667647,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.664711423667647,"endHours":11.664711423667647,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.664711423667647,"endHours":12.664711423667647,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.664711423667647,"endHours":13.664711423667647,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.664711423667647,"endHours":14.664711423667647,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.664711423667647,"endHours":15.664711423667647,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.664711423667647,"endHours":16.664711423667647,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.664711423667647,"endHours":17.664711423667647,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.664711423667647,"endHours":18.664711423667647,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.664711423667647,"endHours":19.664711423667647,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.664711423667647,"endHours":20.664711423667647,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.664711423667647,"endHours":21.664711423667647,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.664711423667647,"endHours":22.664711423667647,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.664711423667647,"endHours":23.664711423667647,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.664711423667647,"endHours":24.664711423667647,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.664711423667647,"endHours":25.664711423667647,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.664711423667647,"endHours":26.664711423667647,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.664711423667647,"endHours":27.664711423667647,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.664711423667647,"endHours":28.664711423667647,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.664711423667647,"endHours":29.664711423667647,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.789946342789701,"eotMinutes":11.794329081555436,"ayanamsa":25.917}},"calendars":{"vikram_samvat":2204,"vikram_samvatsara":"Raudra","saka_samvat":2069,"saka_samvatsara":"Plavaṅga","bengali_samvat":1554,"malayalam_era":1323,"nanakshahi_year":678,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2204 Raudra · Śaka 2069 Plavaṅga"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 October 3, 2147 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 3, 2147 CE for Ranchi, Jharkhand: Śukla Navamī, sūryodaya 05:40, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2147-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2147-10-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2147-10-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2147-10-03","x-default":"https://vidhyamitra.com/city/ranchi/2147-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:07:03.369Z","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":"2026-05-31T19:07:03.369Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:07:03.369Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}