{"id":"vidhyamitra:city-day:ranchi:2026-10-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2026-10-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-10-31","date_display":"October 31, 2026 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2026,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461344.770833,"kali_year":5128,"ahargana":1872879.2708,"sun":{"sidereal_longitude":192.6445,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1304,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4859,"elapsed_within_tithi_degrees":3.4859},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1304,"elapsed_within_degrees":9.4637},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7749},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2026,"month":10,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461344.770833,"ahargana":1872879.2708,"kali_year":5128,"ayanamsa_lahiri":24.2278,"grahas":{"sun":{"sidereal_longitude":193.398187,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":79.59688699999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":3.4312},"mars":{"sidereal_longitude":113.560787,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":203.31518700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":119.76158699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":182.18788700000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":345.163987,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":305.8433,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.8433,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2026,"month":10,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461344.770833,"kali_year":5128,"ahargana":1872879.2708,"sun":{"sidereal_longitude":192.6445,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":76.1304,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":243.4859,"elapsed_within_tithi_degrees":3.4859},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1304,"elapsed_within_degrees":9.4637},"yoga":{"number":21,"name":"Siddha","sum_longitude":268.7749},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.431,"elongation":116.514},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.431,"opposition_distance":63.486}},"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":"05:53","sunsetLocal":"17:11","solarNoonLocal":"11:32","dayLengthHours":11.29843463384066,"dayLengthDisplay":"11 Hours 17 Mins 54 Secs","nightLengthDisplay":"12 Hours 42 Mins 06 Secs","moonriseLocal":"21:13","moonsetLocal":"10:42","rahuKala":{"name":"Rāhu Kāla","start":"08:43","end":"10:08","startHours":8.713871682364363,"endHours":10.126176011594445,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:57","end":"14:22","startHours":12.95078467005461,"endHours":14.363088999284695,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:53","end":"07:18","startHours":5.889263023904198,"endHours":7.301567353134281,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:32","end":"08:54","startHours":8.525564438467018,"endHours":8.902178926261708,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:40","startHours":6.360031133647559,"endHours":6.66132272388331,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.161865853029841,"endHours":11.915094828619218,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:08","startHours":4.382805072725444,"endHours":5.136034048314821,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:53","startHours":4.947726804417477,"endHours":5.889263023904198,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:25","end":"14:10","startHours":13.421552779797972,"endHours":14.17478175538735,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.98769765774486,"endHours":17.38769765774486,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:40","startHours":17.18769765774486,"endHours":17.65846576748822,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.93769765774486,"endHours":18.68769765774486,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.161865853029838,"endHours":23.915094828619218,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:53","end":"07:18","startHours":5.889263023904198,"endHours":7.301567353134281,"quality":"inauspicious"},{"name":"Śubha","start":"07:18","end":"08:43","startHours":7.301567353134281,"endHours":8.713871682364363,"quality":"auspicious"},{"name":"Roga","start":"08:43","end":"10:08","startHours":8.713871682364363,"endHours":10.126176011594445,"quality":"inauspicious"},{"name":"Udveg","start":"10:08","end":"11:32","startHours":10.126176011594445,"endHours":11.538480340824528,"quality":"inauspicious"},{"name":"Chala","start":"11:32","end":"12:57","startHours":11.538480340824528,"endHours":12.95078467005461,"quality":"neutral"},{"name":"Labha","start":"12:57","end":"14:22","startHours":12.95078467005461,"endHours":14.363088999284695,"quality":"auspicious"},{"name":"Amṛta","start":"14:22","end":"15:47","startHours":14.363088999284695,"endHours":15.775393328514777,"quality":"auspicious"},{"name":"Kāla","start":"15:47","end":"17:11","startHours":15.775393328514777,"endHours":17.18769765774486,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:11","end":"18:47","startHours":17.18769765774486,"endHours":18.775393328514777,"quality":"auspicious"},{"name":"Amṛta","start":"18:47","end":"20:22","startHours":18.775393328514777,"endHours":20.363088999284695,"quality":"auspicious"},{"name":"Kāla","start":"20:22","end":"21:57","startHours":20.363088999284695,"endHours":21.95078467005461,"quality":"inauspicious"},{"name":"Śubha","start":"21:57","end":"23:32","startHours":21.95078467005461,"endHours":23.538480340824528,"quality":"auspicious"},{"name":"Roga","start":"23:32","end":"01:08","startHours":23.538480340824528,"endHours":25.126176011594445,"quality":"inauspicious"},{"name":"Udveg","start":"01:08","end":"02:43","startHours":25.126176011594445,"endHours":26.713871682364363,"quality":"inauspicious"},{"name":"Chala","start":"02:43","end":"04:18","startHours":26.713871682364363,"endHours":28.30156735313428,"quality":"neutral"},{"name":"Labha","start":"04:18","end":"05:53","startHours":28.30156735313428,"endHours":29.8892630239042,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.889263023904198,"endHours":6.889263023904198,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.889263023904198,"endHours":7.889263023904198,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.889263023904198,"endHours":8.8892630239042,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.8892630239042,"endHours":9.8892630239042,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.8892630239042,"endHours":10.8892630239042,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.8892630239042,"endHours":11.8892630239042,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.8892630239042,"endHours":12.8892630239042,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.8892630239042,"endHours":13.8892630239042,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.8892630239042,"endHours":14.8892630239042,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.8892630239042,"endHours":15.8892630239042,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.8892630239042,"endHours":16.8892630239042,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.8892630239042,"endHours":17.8892630239042,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.8892630239042,"endHours":18.8892630239042,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.8892630239042,"endHours":19.8892630239042,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.8892630239042,"endHours":20.8892630239042,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.8892630239042,"endHours":21.8892630239042,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.8892630239042,"endHours":22.8892630239042,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.8892630239042,"endHours":23.8892630239042,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.8892630239042,"endHours":24.8892630239042,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.8892630239042,"endHours":25.8892630239042,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.8892630239042,"endHours":26.8892630239042,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.8892630239042,"endHours":27.8892630239042,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.8892630239042,"endHours":28.8892630239042,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.8892630239042,"endHours":29.8892630239042,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.05288769431731,"eotMinutes":16.45277955052819,"ayanamsa":24.2278}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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 Ṣaṣṭhī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 31, 2026 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 31, 2026 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:53, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2026-10-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2026-10-31","sa":"https://sa.vidhyamitra.com/city/ranchi/2026-10-31","hi":"https://hi.vidhyamitra.com/city/ranchi/2026-10-31","x-default":"https://vidhyamitra.com/city/ranchi/2026-10-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T21:39:15.599Z","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":"2026-09-11T21:39:15.599Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T21:39:15.599Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}