{"id":"vidhyamitra:city-day:ranchi:2091-10-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2091-10-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-10-29","date_display":"October 29, 2091 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":2091,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485083.770833,"kali_year":5193,"ahargana":1896618.2708,"sun":{"sidereal_longitude":189.8179,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":30.2432,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.4253,"elapsed_within_tithi_degrees":8.4253},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.2432,"elapsed_within_degrees":3.5766},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.0612},"karana":{"half_tithi_index":33,"name":"Gara"},"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":2091,"month":10,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485083.770833,"ahargana":1896618.2708,"kali_year":5193,"ayanamsa_lahiri":25.1357,"grahas":{"sun":{"sidereal_longitude":190.739283,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":28.696483,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-4.4583},"mars":{"sidereal_longitude":230.30838300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":213.52028300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":260.332183,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":214.73288300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":73.66038300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":128.0368,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":308.0368,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"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":2091,"month":10,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485083.770833,"kali_year":5193,"ahargana":1896618.2708,"sun":{"sidereal_longitude":189.8179,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":30.2432,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":200.4253,"elapsed_within_tithi_degrees":8.4253},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.2432,"elapsed_within_degrees":3.5766},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":220.0612},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.458,"elongation":159.575},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.458,"opposition_distance":20.425}},"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":"05:52","sunsetLocal":"17:12","solarNoonLocal":"11:32","dayLengthHours":11.333311868802078,"dayLengthDisplay":"11 Hours 20 Mins 00 Secs","nightLengthDisplay":"12 Hours 40 Mins 00 Secs","moonriseLocal":"18:08","moonsetLocal":"07:21","rahuKala":{"name":"Rāhu Kāla","start":"07:17","end":"08:42","startHours":7.288811467882168,"endHours":8.705475451482428,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:32","startHours":10.122139435082687,"endHours":11.538803418682946,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:57","end":"14:22","startHours":12.955467402283206,"endHours":14.372131385883467,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:54","startHours":8.516586920335726,"endHours":8.894363982629129,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:39","startHours":6.344368812148661,"endHours":6.646590461983384,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.161026356389543,"endHours":11.916580480976348,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:07","startHours":4.361039235108297,"endHours":5.116593359695103,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:52","startHours":4.927704828548402,"endHours":5.872147484281908,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:26","end":"14:11","startHours":13.42768873014996,"endHours":14.183242854736765,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:00","end":"17:24","startHours":17.005459353083985,"endHours":17.405459353083984,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:12","end":"17:41","startHours":17.205459353083985,"endHours":17.677680680950736,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:57","end":"18:42","startHours":16.955459353083985,"endHours":18.705459353083985,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.16102635638954,"endHours":23.91658048097635,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:52","end":"07:17","startHours":5.872147484281908,"endHours":7.288811467882168,"quality":"auspicious"},{"name":"Kāla","start":"07:17","end":"08:42","startHours":7.288811467882168,"endHours":8.705475451482428,"quality":"inauspicious"},{"name":"Śubha","start":"08:42","end":"10:07","startHours":8.705475451482428,"endHours":10.122139435082687,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:32","startHours":10.122139435082687,"endHours":11.538803418682946,"quality":"inauspicious"},{"name":"Udveg","start":"11:32","end":"12:57","startHours":11.538803418682946,"endHours":12.955467402283206,"quality":"inauspicious"},{"name":"Chala","start":"12:57","end":"14:22","startHours":12.955467402283206,"endHours":14.372131385883467,"quality":"neutral"},{"name":"Labha","start":"14:22","end":"15:47","startHours":14.372131385883467,"endHours":15.788795369483726,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:12","startHours":15.788795369483726,"endHours":17.205459353083985,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:12","end":"18:47","startHours":17.205459353083985,"endHours":18.788795369483726,"quality":"neutral"},{"name":"Labha","start":"18:47","end":"20:22","startHours":18.788795369483726,"endHours":20.372131385883463,"quality":"auspicious"},{"name":"Amṛta","start":"20:22","end":"21:57","startHours":20.372131385883463,"endHours":21.955467402283205,"quality":"auspicious"},{"name":"Kāla","start":"21:57","end":"23:32","startHours":21.955467402283205,"endHours":23.538803418682946,"quality":"inauspicious"},{"name":"Śubha","start":"23:32","end":"01:07","startHours":23.538803418682946,"endHours":25.122139435082687,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:42","startHours":25.122139435082687,"endHours":26.705475451482428,"quality":"inauspicious"},{"name":"Udveg","start":"02:42","end":"04:17","startHours":26.705475451482428,"endHours":28.288811467882166,"quality":"inauspicious"},{"name":"Chala","start":"04:17","end":"05:52","startHours":28.288811467882166,"endHours":29.872147484281907,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.872147484281908,"endHours":6.872147484281908,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.872147484281908,"endHours":7.872147484281908,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.872147484281908,"endHours":8.872147484281907,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.872147484281907,"endHours":9.872147484281907,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.872147484281907,"endHours":10.872147484281907,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.872147484281907,"endHours":11.872147484281907,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.872147484281907,"endHours":12.872147484281907,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.872147484281907,"endHours":13.872147484281907,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.872147484281907,"endHours":14.872147484281907,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.872147484281907,"endHours":15.872147484281907,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.872147484281907,"endHours":16.872147484281907,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.872147484281907,"endHours":17.872147484281907,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.872147484281907,"endHours":18.872147484281907,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.872147484281907,"endHours":19.872147484281907,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.872147484281907,"endHours":20.872147484281907,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.872147484281907,"endHours":21.872147484281907,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.872147484281907,"endHours":22.872147484281907,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.872147484281907,"endHours":23.872147484281907,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.872147484281907,"endHours":24.872147484281907,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.872147484281907,"endHours":25.872147484281907,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.872147484281907,"endHours":26.872147484281907,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.872147484281907,"endHours":27.872147484281907,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.872147484281907,"endHours":28.872147484281907,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.872147484281907,"endHours":29.872147484281907,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-13.47839133025702,"eotMinutes":16.433394879023222,"ayanamsa":25.1357}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Dvitīyā · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 29, 2091 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 29, 2091 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 05:52, sūryāsta 17:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2091-10-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2091-10-29","sa":"https://sa.vidhyamitra.com/city/ranchi/2091-10-29","hi":"https://hi.vidhyamitra.com/city/ranchi/2091-10-29","x-default":"https://vidhyamitra.com/city/ranchi/2091-10-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:05:31.544Z","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":"2026-05-31T18:05:31.544Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:05:31.544Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}