{"id":"vidhyamitra:city-day:ranchi:2026-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2026-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-01-09","date_display":"January 9, 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":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461049.770833,"kali_year":5127,"ahargana":1872584.2708,"sun":{"sidereal_longitude":264.3307,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":154.6494,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.3187,"elapsed_within_tithi_degrees":10.3187},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.6494,"elapsed_within_degrees":7.9828},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.9801},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461049.770833,"ahargana":1872584.2708,"kali_year":5127,"ayanamsa_lahiri":24.2165,"grahas":{"sun":{"sidereal_longitude":264.556958,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":156.30465800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":-1.0247},"mars":{"sidereal_longitude":264.27315799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":256.56905800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":85.92255799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":264.775758,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":332.55545800000004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":321.4738,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.4738,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":"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":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461049.770833,"kali_year":5127,"ahargana":1872584.2708,"sun":{"sidereal_longitude":264.3307,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":154.6494,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":250.3187,"elapsed_within_tithi_degrees":10.3187},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.6494,"elapsed_within_degrees":7.9828},"yoga":{"number":5,"name":"Śobhana","sum_longitude":58.9801},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.025,"elongation":109.681},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.025,"opposition_distance":70.319}},"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":"06:32","sunsetLocal":"17:19","solarNoonLocal":"11:56","dayLengthHours":10.785233519856316,"dayLengthDisplay":"10 Hours 47 Mins 07 Secs","nightLengthDisplay":"13 Hours 12 Mins 53 Secs","moonriseLocal":"22:41","moonsetLocal":"10:45","rahuKala":{"name":"Rāhu Kāla","start":"10:35","end":"11:56","startHours":10.582943981990935,"endHours":11.931098171972975,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:38","end":"15:59","startHours":14.627406551937053,"endHours":15.975560741919093,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:53","end":"09:14","startHours":7.886635602026857,"endHours":9.234789792008897,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:25","startHours":9.05503590001129,"endHours":9.414543684006501,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.98786614203883,"endHours":7.275472369234999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:17","startHours":11.571590387977764,"endHours":12.290605955968186,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.100450276063975,"endHours":5.819465844054395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.639711952056791,"endHours":6.538481412044817,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:27","startHours":13.728637091949029,"endHours":14.44765265993945,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.123714931901134,"endHours":17.523714931901132,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:46","startHours":17.323714931901133,"endHours":17.773099661895145,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.073714931901133,"endHours":18.823714931901133,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:17","startHours":23.571590387977768,"endHours":24.290605955968186,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:53","startHours":6.538481412044817,"endHours":7.886635602026857,"quality":"neutral"},{"name":"Labha","start":"07:53","end":"09:14","startHours":7.886635602026857,"endHours":9.234789792008897,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:35","startHours":9.234789792008897,"endHours":10.582943981990935,"quality":"auspicious"},{"name":"Kāla","start":"10:35","end":"11:56","startHours":10.582943981990935,"endHours":11.931098171972975,"quality":"inauspicious"},{"name":"Śubha","start":"11:56","end":"13:17","startHours":11.931098171972975,"endHours":13.279252361955015,"quality":"auspicious"},{"name":"Roga","start":"13:17","end":"14:38","startHours":13.279252361955015,"endHours":14.627406551937053,"quality":"inauspicious"},{"name":"Udveg","start":"14:38","end":"15:59","startHours":14.627406551937053,"endHours":15.975560741919093,"quality":"inauspicious"},{"name":"Chala","start":"15:59","end":"17:19","startHours":15.975560741919093,"endHours":17.323714931901133,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:19","end":"18:59","startHours":17.323714931901133,"endHours":18.975560741919093,"quality":"inauspicious"},{"name":"Udveg","start":"18:59","end":"20:38","startHours":18.975560741919093,"endHours":20.627406551937053,"quality":"inauspicious"},{"name":"Chala","start":"20:38","end":"22:17","startHours":20.627406551937053,"endHours":22.279252361955017,"quality":"neutral"},{"name":"Labha","start":"22:17","end":"23:56","startHours":22.279252361955017,"endHours":23.931098171972977,"quality":"auspicious"},{"name":"Amṛta","start":"23:56","end":"01:35","startHours":23.931098171972977,"endHours":25.582943981990937,"quality":"auspicious"},{"name":"Kāla","start":"01:35","end":"03:14","startHours":25.582943981990937,"endHours":27.234789792008897,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:53","startHours":27.234789792008897,"endHours":28.886635602026857,"quality":"auspicious"},{"name":"Roga","start":"04:53","end":"06:32","startHours":28.886635602026857,"endHours":30.538481412044817,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.538481412044817,"endHours":7.538481412044817,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.538481412044817,"endHours":8.538481412044817,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.538481412044817,"endHours":9.538481412044817,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.538481412044817,"endHours":10.538481412044817,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.538481412044817,"endHours":11.538481412044817,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.538481412044817,"endHours":12.538481412044817,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.538481412044817,"endHours":13.538481412044817,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.538481412044817,"endHours":14.538481412044817,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.538481412044817,"endHours":15.538481412044817,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.538481412044817,"endHours":16.538481412044817,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.538481412044817,"endHours":17.538481412044817,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.538481412044817,"endHours":18.538481412044817,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.538481412044817,"endHours":19.538481412044817,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.538481412044817,"endHours":20.538481412044817,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.538481412044817,"endHours":21.538481412044817,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.538481412044817,"endHours":22.538481412044817,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.538481412044817,"endHours":23.538481412044817,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.538481412044817,"endHours":24.538481412044817,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.538481412044817,"endHours":25.538481412044817,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.538481412044817,"endHours":26.538481412044817,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.538481412044817,"endHours":27.538481412044817,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.538481412044817,"endHours":28.538481412044817,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.538481412044817,"endHours":29.538481412044817,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.538481412044817,"endHours":30.538481412044817,"planetary_lord":"Mars"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.1215348693428,"eotMinutes":-7.10429031837854,"ayanamsa":24.2165}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 January 9, 2026 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 9, 2026 CE for Ranchi, Jharkhand: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:32, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2026-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2026-01-09","sa":"https://sa.vidhyamitra.com/city/ranchi/2026-01-09","hi":"https://hi.vidhyamitra.com/city/ranchi/2026-01-09","x-default":"https://vidhyamitra.com/city/ranchi/2026-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T00:25:39.992Z","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":"2026-09-12T00:25:39.992Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T00:25:39.992Z","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"}}}