{"id":"vidhyamitra:city-day:ranchi:2115-10-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2115-10-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-10-10","date_display":"October 10, 2115 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":2115,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493829.770833,"kali_year":5217,"ahargana":1905364.2708,"sun":{"sidereal_longitude":169.716,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":68.3379,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.6219,"elapsed_within_tithi_degrees":6.6219},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.3379,"elapsed_within_degrees":1.6712},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.0538},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2115,"month":10,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493829.770833,"ahargana":1905364.2708,"kali_year":5217,"ayanamsa_lahiri":25.4702,"grahas":{"sun":{"sidereal_longitude":170.73992099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":69.16432099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.1077},"mars":{"sidereal_longitude":164.99292100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":159.60002099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":265.891121,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":191.279221,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":355.221421,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":24.6317,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.6317,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":10,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493829.770833,"kali_year":5217,"ahargana":1905364.2708,"sun":{"sidereal_longitude":169.716,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":68.3379,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.6219,"elapsed_within_tithi_degrees":6.6219},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.3379,"elapsed_within_degrees":1.6712},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.0538},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.108,"elongation":101.378},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.108,"opposition_distance":78.622}},"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":"05:42","sunsetLocal":"17:28","solarNoonLocal":"11:35","dayLengthHours":11.753322936253596,"dayLengthDisplay":"11 Hours 45 Mins 12 Secs","nightLengthDisplay":"12 Hours 14 Mins 48 Secs","moonriseLocal":"22:03","moonsetLocal":"11:34","rahuKala":{"name":"Rāhu Kāla","start":"13:03","end":"14:31","startHours":13.052801265832205,"endHours":14.521966632863904,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:42","end":"07:11","startHours":5.706974430673707,"endHours":7.176139797705407,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:07","startHours":8.645305164737106,"endHours":10.114470531768806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.44941644913288,"endHours":8.841193880341333,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:31","startHours":6.196696219684274,"endHours":6.510118164651036,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:12","end":"11:59","startHours":11.191858467592052,"endHours":11.975413330008958,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"04:55","startHours":4.139864705839894,"endHours":4.923419568256801,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:42","startHours":4.727530852652574,"endHours":5.706974430673707,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:33","end":"14:20","startHours":13.542523054842771,"endHours":14.326077917259678,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.260297366927304,"endHours":17.660297366927303,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:57","startHours":17.460297366927303,"endHours":17.95001915593787,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.210297366927303,"endHours":18.960297366927303,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:12","end":"23:59","startHours":23.191858467592052,"endHours":23.97541333000896,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:42","end":"07:11","startHours":5.706974430673707,"endHours":7.176139797705407,"quality":"auspicious"},{"name":"Roga","start":"07:11","end":"08:39","startHours":7.176139797705407,"endHours":8.645305164737106,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:07","startHours":8.645305164737106,"endHours":10.114470531768806,"quality":"inauspicious"},{"name":"Chala","start":"10:07","end":"11:35","startHours":10.114470531768806,"endHours":11.583635898800505,"quality":"neutral"},{"name":"Labha","start":"11:35","end":"13:03","startHours":11.583635898800505,"endHours":13.052801265832205,"quality":"auspicious"},{"name":"Amṛta","start":"13:03","end":"14:31","startHours":13.052801265832205,"endHours":14.521966632863904,"quality":"auspicious"},{"name":"Kāla","start":"14:31","end":"15:59","startHours":14.521966632863904,"endHours":15.991131999895604,"quality":"inauspicious"},{"name":"Śubha","start":"15:59","end":"17:28","startHours":15.991131999895604,"endHours":17.460297366927303,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:28","end":"18:59","startHours":17.460297366927303,"endHours":18.991131999895604,"quality":"auspicious"},{"name":"Kāla","start":"18:59","end":"20:31","startHours":18.991131999895604,"endHours":20.521966632863904,"quality":"inauspicious"},{"name":"Śubha","start":"20:31","end":"22:03","startHours":20.521966632863904,"endHours":22.052801265832205,"quality":"auspicious"},{"name":"Roga","start":"22:03","end":"23:35","startHours":22.052801265832205,"endHours":23.583635898800505,"quality":"inauspicious"},{"name":"Udveg","start":"23:35","end":"01:07","startHours":23.583635898800505,"endHours":25.114470531768806,"quality":"inauspicious"},{"name":"Chala","start":"01:07","end":"02:39","startHours":25.114470531768806,"endHours":26.645305164737106,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:11","startHours":26.645305164737106,"endHours":28.176139797705407,"quality":"auspicious"},{"name":"Amṛta","start":"04:11","end":"05:42","startHours":28.176139797705407,"endHours":29.706974430673707,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.706974430673707,"endHours":6.706974430673707,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.706974430673707,"endHours":7.706974430673707,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.706974430673707,"endHours":8.706974430673707,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.706974430673707,"endHours":9.706974430673707,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.706974430673707,"endHours":10.706974430673707,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.706974430673707,"endHours":11.706974430673707,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.706974430673707,"endHours":12.706974430673707,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.706974430673707,"endHours":13.706974430673707,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.706974430673707,"endHours":14.706974430673707,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.706974430673707,"endHours":15.706974430673707,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.706974430673707,"endHours":16.706974430673707,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.706974430673707,"endHours":17.706974430673707,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.706974430673707,"endHours":18.706974430673707,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.706974430673707,"endHours":19.706974430673707,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.706974430673707,"endHours":20.706974430673707,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.706974430673707,"endHours":21.706974430673707,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.706974430673707,"endHours":22.706974430673707,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.706974430673707,"endHours":23.706974430673707,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.706974430673707,"endHours":24.706974430673707,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.706974430673707,"endHours":25.706974430673707,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.706974430673707,"endHours":26.706974430673707,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.706974430673707,"endHours":27.706974430673707,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.706974430673707,"endHours":28.706974430673707,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.706974430673707,"endHours":29.706974430673707,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.3747680454905895,"eotMinutes":13.743446071969673,"ayanamsa":25.4702}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","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":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"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 October 10, 2115 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 10, 2115 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:42, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2115-10-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2115-10-10","sa":"https://sa.vidhyamitra.com/city/ranchi/2115-10-10","hi":"https://hi.vidhyamitra.com/city/ranchi/2115-10-10","x-default":"https://vidhyamitra.com/city/ranchi/2115-10-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:39:38.710Z","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":"2026-05-31T17:39:38.710Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:39:38.710Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}