{"id":"vidhyamitra:city-day:ranchi:2107-10-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2107-10-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2107-10-16","date_display":"October 16, 2107 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":2107,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490913.770833,"kali_year":5209,"ahargana":1902448.2708,"sun":{"sidereal_longitude":175.7234,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":172.5177,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.7943,"elapsed_within_tithi_degrees":8.7943},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.5177,"elapsed_within_degrees":12.5177},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":348.2411},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2107,"month":10,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490913.770833,"ahargana":1902448.2708,"kali_year":5209,"ayanamsa_lahiri":25.3587,"grahas":{"sun":{"sidereal_longitude":176.72083399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":172.04143399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-0.5181},"mars":{"sidereal_longitude":118.92093399999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":157.57973400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":54.67003399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":198.27133400000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":255.41483400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":179.1354,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.1354,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2107,"month":10,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490913.770833,"kali_year":5209,"ahargana":1902448.2708,"sun":{"sidereal_longitude":175.7234,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":172.5177,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":356.7943,"elapsed_within_tithi_degrees":8.7943},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.5177,"elapsed_within_degrees":12.5177},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":348.2411},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.518,"elongation":3.206},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.518,"opposition_distance":176.794}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-1.173,"opposition_distance":1.733}]},"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":"05:45","sunsetLocal":"17:22","solarNoonLocal":"11:34","dayLengthHours":11.623661565064035,"dayLengthDisplay":"11 Hours 37 Mins 25 Secs","nightLengthDisplay":"12 Hours 22 Mins 35 Secs","moonriseLocal":"05:24","moonsetLocal":"17:06","rahuKala":{"name":"Rāhu Kāla","start":"15:55","end":"17:22","startHours":15.920770927379328,"endHours":17.373728623012333,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:34","end":"13:01","startHours":11.561897840480317,"endHours":13.01485553611332,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:28","end":"15:55","startHours":14.467813231746325,"endHours":15.920770927379328,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:51","startHours":8.46225475646324,"endHours":8.849710141965375,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:33","startHours":6.2343862898259665,"endHours":6.544350598227674,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:57","startHours":11.174442454978182,"endHours":11.94935322598245,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"04:59","startHours":4.20024551593976,"endHours":4.97515628694403,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:45","startHours":4.7814285941929615,"endHours":5.750067057948298,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:30","end":"14:16","startHours":13.499174767990988,"endHours":14.274085538995257,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.173728623012334,"endHours":17.573728623012332,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:51","startHours":17.373728623012333,"endHours":17.85804785489,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.123728623012333,"endHours":18.873728623012333,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:57","startHours":23.17444245497818,"endHours":23.949353225982453,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:45","end":"07:12","startHours":5.750067057948298,"endHours":7.203024753581302,"quality":"inauspicious"},{"name":"Chala","start":"07:12","end":"08:39","startHours":7.203024753581302,"endHours":8.655982449214306,"quality":"neutral"},{"name":"Labha","start":"08:39","end":"10:07","startHours":8.655982449214306,"endHours":10.108940144847312,"quality":"auspicious"},{"name":"Amṛta","start":"10:07","end":"11:34","startHours":10.108940144847312,"endHours":11.561897840480317,"quality":"auspicious"},{"name":"Kāla","start":"11:34","end":"13:01","startHours":11.561897840480317,"endHours":13.01485553611332,"quality":"inauspicious"},{"name":"Śubha","start":"13:01","end":"14:28","startHours":13.01485553611332,"endHours":14.467813231746325,"quality":"auspicious"},{"name":"Roga","start":"14:28","end":"15:55","startHours":14.467813231746325,"endHours":15.920770927379328,"quality":"inauspicious"},{"name":"Udveg","start":"15:55","end":"17:22","startHours":15.920770927379328,"endHours":17.373728623012333,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:22","end":"18:55","startHours":17.373728623012333,"endHours":18.92077092737933,"quality":"auspicious"},{"name":"Roga","start":"18:55","end":"20:28","startHours":18.92077092737933,"endHours":20.467813231746323,"quality":"inauspicious"},{"name":"Udveg","start":"20:28","end":"22:01","startHours":20.467813231746323,"endHours":22.01485553611332,"quality":"inauspicious"},{"name":"Chala","start":"22:01","end":"23:34","startHours":22.01485553611332,"endHours":23.561897840480317,"quality":"neutral"},{"name":"Labha","start":"23:34","end":"01:07","startHours":23.561897840480317,"endHours":25.10894014484731,"quality":"auspicious"},{"name":"Amṛta","start":"01:07","end":"02:39","startHours":25.10894014484731,"endHours":26.655982449214306,"quality":"auspicious"},{"name":"Kāla","start":"02:39","end":"04:12","startHours":26.655982449214306,"endHours":28.203024753581303,"quality":"inauspicious"},{"name":"Śubha","start":"04:12","end":"05:45","startHours":28.203024753581303,"endHours":29.7500670579483,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.750067057948298,"endHours":6.750067057948298,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.750067057948298,"endHours":7.750067057948298,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.750067057948298,"endHours":8.750067057948298,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.750067057948298,"endHours":9.750067057948298,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.750067057948298,"endHours":10.750067057948298,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.750067057948298,"endHours":11.750067057948298,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.750067057948298,"endHours":12.750067057948298,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.750067057948298,"endHours":13.750067057948298,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.750067057948298,"endHours":14.750067057948298,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.750067057948298,"endHours":15.750067057948298,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.750067057948298,"endHours":16.7500670579483,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.7500670579483,"endHours":17.7500670579483,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.7500670579483,"endHours":18.7500670579483,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.7500670579483,"endHours":19.7500670579483,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.7500670579483,"endHours":20.7500670579483,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.7500670579483,"endHours":21.7500670579483,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.7500670579483,"endHours":22.7500670579483,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.7500670579483,"endHours":23.7500670579483,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.7500670579483,"endHours":24.7500670579483,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.7500670579483,"endHours":25.7500670579483,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.7500670579483,"endHours":26.7500670579483,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.7500670579483,"endHours":27.7500670579483,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.7500670579483,"endHours":28.7500670579483,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.7500670579483,"endHours":29.7500670579483,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","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":-8.59823942112641,"eotMinutes":15.04772957118102,"ayanamsa":25.3587}},"calendars":{"vikram_samvat":2164,"vikram_samvatsara":"Vikrama","saka_samvat":2029,"saka_samvatsara":"Prabhava","bengali_samvat":1514,"malayalam_era":1283,"nanakshahi_year":638,"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 Amāvasyā · Vikram 2164 Vikrama · Śaka 2029 Prabhava"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":1}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 16, 2107 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 16, 2107 CE for Ranchi, Jharkhand: Kṛṣṇa Amāvasyā, sūryodaya 05:45, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2107-10-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2107-10-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2107-10-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2107-10-16","x-default":"https://vidhyamitra.com/city/ranchi/2107-10-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:02:19.111Z","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":"2026-06-03T02:02:19.111Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:02:19.111Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}