{"id":"vidhyamitra:city-day:ranchi:2015-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2015-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-10-04","date_display":"October 4, 2015 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":2015,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457299.770833,"kali_year":5117,"ahargana":1868834.2708,"sun":{"sidereal_longitude":165.649,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":62.622,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.9731,"elapsed_within_tithi_degrees":4.9731},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.622,"elapsed_within_degrees":9.2887},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.271},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2015,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457299.770833,"ahargana":1868834.2708,"kali_year":5117,"ayanamsa_lahiri":24.0731,"grahas":{"sun":{"sidereal_longitude":166.43203600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":66.30013600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":-4.461},"mars":{"sidereal_longitude":131.322636,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":159.44363599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":136.64423599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":121.97233600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":216.97393599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":160.1669,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":340.1669,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"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":2015,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457299.770833,"kali_year":5117,"ahargana":1868834.2708,"sun":{"sidereal_longitude":165.649,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":62.622,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":256.9731,"elapsed_within_tithi_degrees":4.9731},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.622,"elapsed_within_degrees":9.2887},"yoga":{"number":18,"name":"Varīyān","sum_longitude":228.271},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.461,"elongation":103.027},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.461,"opposition_distance":76.973}},"eclipse_window_40days":[{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":0.154,"opposition_distance":1.236},{"offset_days":9,"type":"solar","occurs":true,"moon_latitude":1.25,"elongation":1.29}]},"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":"17:33","solarNoonLocal":"11:37","dayLengthHours":11.88156029524808,"dayLengthDisplay":"11 Hours 52 Mins 54 Secs","nightLengthDisplay":"12 Hours 07 Mins 06 Secs","moonriseLocal":"22:10","moonsetLocal":"11:42","rahuKala":{"name":"Rāhu Kāla","start":"16:04","end":"17:33","startHours":16.066660724256526,"endHours":17.551855761162535,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:37","end":"13:06","startHours":11.611075613538496,"endHours":13.096270650444506,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:35","end":"16:04","startHours":14.581465687350516,"endHours":16.066660724256526,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.442659534805674,"endHours":8.838711544647277,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:29","startHours":6.165360478216458,"endHours":6.482202086089741,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:13","end":"12:00","startHours":11.215023603696894,"endHours":12.007127623380098,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:53","startHours":4.086087426548044,"endHours":4.8781914462312495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:40","startHours":4.680165441310448,"endHours":5.670295465914455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:35","end":"14:23","startHours":13.59133566274651,"endHours":14.383439682429714,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.351855761162536,"endHours":17.751855761162535,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"18:03","startHours":17.551855761162535,"endHours":18.04692077346454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.301855761162535,"endHours":19.051855761162535,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:13","end":"00:00","startHours":23.215023603696892,"endHours":24.0071276233801,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:40","end":"07:09","startHours":5.670295465914455,"endHours":7.155490502820465,"quality":"inauspicious"},{"name":"Chala","start":"07:09","end":"08:38","startHours":7.155490502820465,"endHours":8.640685539726475,"quality":"neutral"},{"name":"Labha","start":"08:38","end":"10:08","startHours":8.640685539726475,"endHours":10.125880576632486,"quality":"auspicious"},{"name":"Amṛta","start":"10:08","end":"11:37","startHours":10.125880576632486,"endHours":11.611075613538496,"quality":"auspicious"},{"name":"Kāla","start":"11:37","end":"13:06","startHours":11.611075613538496,"endHours":13.096270650444506,"quality":"inauspicious"},{"name":"Śubha","start":"13:06","end":"14:35","startHours":13.096270650444506,"endHours":14.581465687350516,"quality":"auspicious"},{"name":"Roga","start":"14:35","end":"16:04","startHours":14.581465687350516,"endHours":16.066660724256526,"quality":"inauspicious"},{"name":"Udveg","start":"16:04","end":"17:33","startHours":16.066660724256526,"endHours":17.551855761162535,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:33","end":"19:04","startHours":17.551855761162535,"endHours":19.066660724256526,"quality":"auspicious"},{"name":"Roga","start":"19:04","end":"20:35","startHours":19.066660724256526,"endHours":20.581465687350516,"quality":"inauspicious"},{"name":"Udveg","start":"20:35","end":"22:06","startHours":20.581465687350516,"endHours":22.096270650444506,"quality":"inauspicious"},{"name":"Chala","start":"22:06","end":"23:37","startHours":22.096270650444506,"endHours":23.611075613538496,"quality":"neutral"},{"name":"Labha","start":"23:37","end":"01:08","startHours":23.611075613538496,"endHours":25.125880576632486,"quality":"auspicious"},{"name":"Amṛta","start":"01:08","end":"02:38","startHours":25.125880576632486,"endHours":26.640685539726476,"quality":"auspicious"},{"name":"Kāla","start":"02:38","end":"04:09","startHours":26.640685539726476,"endHours":28.155490502820463,"quality":"inauspicious"},{"name":"Śubha","start":"04:09","end":"05:40","startHours":28.155490502820463,"endHours":29.670295465914457,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.670295465914455,"endHours":6.670295465914455,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.670295465914455,"endHours":7.670295465914455,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.670295465914455,"endHours":8.670295465914455,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.670295465914455,"endHours":9.670295465914455,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.670295465914455,"endHours":10.670295465914455,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.670295465914455,"endHours":11.670295465914455,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.670295465914455,"endHours":12.670295465914455,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.670295465914455,"endHours":13.670295465914455,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.670295465914455,"endHours":14.670295465914455,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.670295465914455,"endHours":15.670295465914455,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.670295465914455,"endHours":16.670295465914457,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.670295465914457,"endHours":17.670295465914457,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.670295465914457,"endHours":18.670295465914457,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.670295465914457,"endHours":19.670295465914457,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.670295465914457,"endHours":20.670295465914457,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.670295465914457,"endHours":21.670295465914457,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.670295465914457,"endHours":22.670295465914457,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.670295465914457,"endHours":23.670295465914457,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.670295465914457,"endHours":24.670295465914457,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.670295465914457,"endHours":25.670295465914457,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.670295465914457,"endHours":26.670295465914457,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.670295465914457,"endHours":27.670295465914457,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.670295465914457,"endHours":28.670295465914457,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.670295465914457,"endHours":29.670295465914457,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-4.158513100913281,"eotMinutes":12.09706318769023,"ayanamsa":24.0731}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Saptamī · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 4, 2015 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 4, 2015 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:40, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2015-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2015-10-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2015-10-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2015-10-04","x-default":"https://vidhyamitra.com/city/ranchi/2015-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:54:57.142Z","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":"2026-05-15T16:54:57.142Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:54:57.142Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}