{"id":"vidhyamitra:city-day:dhanbad:2026-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/dhanbad/2026-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-10-03","date_display":"October 3, 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":"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":2026,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461316.770833,"kali_year":5128,"ahargana":1872851.2708,"sun":{"sidereal_longitude":164.8159,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":67.0229,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.207,"elapsed_within_tithi_degrees":10.207},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.0229,"elapsed_within_degrees":0.3563},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.8388},"karana":{"half_tithi_index":43,"name":"Bava"},"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":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461316.770833,"ahargana":1872851.2708,"kali_year":5128,"ayanamsa_lahiri":24.2267,"grahas":{"sun":{"sidereal_longitude":165.62595699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":68.81235700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.908},"mars":{"sidereal_longitude":98.31005700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":188.74915699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":115.51575700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":194.01225699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":347.231957,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":307.3269,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.3269,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461316.770833,"kali_year":5128,"ahargana":1872851.2708,"sun":{"sidereal_longitude":164.8159,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":67.0229,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.207,"elapsed_within_tithi_degrees":10.207},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.0229,"elapsed_within_degrees":0.3563},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.8388},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.908,"elongation":97.793},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.908,"opposition_distance":82.207}},"eclipse_window_40days":[]},"city":{"slug":"dhanbad","name":"Dhanbad, Jharkhand","lat":23.7957,"lon":86.4304,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"dhanbad","name":"Dhanbad, Jharkhand","lat":23.7957,"lon":86.4304,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"05:36","sunsetLocal":"17:29","solarNoonLocal":"11:32","dayLengthHours":11.891859450401878,"dayLengthDisplay":"11 Hours 53 Mins 31 Secs","nightLengthDisplay":"12 Hours 06 Mins 29 Secs","moonriseLocal":"22:18","moonsetLocal":"11:52","rahuKala":{"name":"Rāhu Kāla","start":"08:34","end":"10:03","startHours":8.568436319373605,"endHours":10.054918750673838,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:02","end":"14:31","startHours":13.027883613274309,"endHours":14.514366044574544,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:36","end":"07:05","startHours":5.595471456773136,"endHours":7.08195388807337,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:22","end":"08:46","startHours":8.370238661866907,"endHours":8.766633976880303,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:24","startHours":6.090965600539881,"endHours":6.408081852550597,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:09","end":"11:56","startHours":11.145005866960679,"endHours":11.937796496987472,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:48","startHours":4.009890196719552,"endHours":4.802680826746344,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:36","startHours":4.6044831692396455,"endHours":5.595471456773136,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:31","end":"14:19","startHours":13.523377757041054,"endHours":14.316168387067846,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.287330907175015,"endHours":17.687330907175014,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:59","startHours":17.487330907175014,"endHours":17.98282505094176,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.237330907175014,"endHours":18.987330907175014,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:09","end":"23:56","startHours":23.145005866960677,"endHours":23.93779649698747,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:36","end":"07:05","startHours":5.595471456773136,"endHours":7.08195388807337,"quality":"inauspicious"},{"name":"Śubha","start":"07:05","end":"08:34","startHours":7.08195388807337,"endHours":8.568436319373605,"quality":"auspicious"},{"name":"Roga","start":"08:34","end":"10:03","startHours":8.568436319373605,"endHours":10.054918750673838,"quality":"inauspicious"},{"name":"Udveg","start":"10:03","end":"11:32","startHours":10.054918750673838,"endHours":11.541401181974074,"quality":"inauspicious"},{"name":"Chala","start":"11:32","end":"13:02","startHours":11.541401181974074,"endHours":13.027883613274309,"quality":"neutral"},{"name":"Labha","start":"13:02","end":"14:31","startHours":13.027883613274309,"endHours":14.514366044574544,"quality":"auspicious"},{"name":"Amṛta","start":"14:31","end":"16:00","startHours":14.514366044574544,"endHours":16.00084847587478,"quality":"auspicious"},{"name":"Kāla","start":"16:00","end":"17:29","startHours":16.00084847587478,"endHours":17.487330907175014,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:29","end":"19:00","startHours":17.487330907175014,"endHours":19.00084847587478,"quality":"auspicious"},{"name":"Amṛta","start":"19:00","end":"20:31","startHours":19.00084847587478,"endHours":20.514366044574544,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"22:02","startHours":20.514366044574544,"endHours":22.027883613274312,"quality":"inauspicious"},{"name":"Śubha","start":"22:02","end":"23:32","startHours":22.027883613274312,"endHours":23.541401181974074,"quality":"auspicious"},{"name":"Roga","start":"23:32","end":"01:03","startHours":23.541401181974074,"endHours":25.054918750673842,"quality":"inauspicious"},{"name":"Udveg","start":"01:03","end":"02:34","startHours":25.054918750673842,"endHours":26.568436319373607,"quality":"inauspicious"},{"name":"Chala","start":"02:34","end":"04:05","startHours":26.568436319373607,"endHours":28.08195388807337,"quality":"neutral"},{"name":"Labha","start":"04:05","end":"05:36","startHours":28.08195388807337,"endHours":29.595471456773137,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.595471456773136,"endHours":6.595471456773136,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.595471456773136,"endHours":7.595471456773136,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.595471456773136,"endHours":8.595471456773137,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.595471456773137,"endHours":9.595471456773137,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.595471456773137,"endHours":10.595471456773137,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.595471456773137,"endHours":11.595471456773137,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.595471456773137,"endHours":12.595471456773137,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.595471456773137,"endHours":13.595471456773137,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.595471456773137,"endHours":14.595471456773137,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.595471456773137,"endHours":15.595471456773137,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.595471456773137,"endHours":16.595471456773137,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.595471456773137,"endHours":17.595471456773137,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.595471456773137,"endHours":18.595471456773137,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.595471456773137,"endHours":19.595471456773137,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.595471456773137,"endHours":20.595471456773137,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.595471456773137,"endHours":21.595471456773137,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.595471456773137,"endHours":22.595471456773137,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.595471456773137,"endHours":23.595471456773137,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.595471456773137,"endHours":24.595471456773137,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.595471456773137,"endHours":25.595471456773137,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.595471456773137,"endHours":26.595471456773137,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.595471456773137,"endHours":27.595471456773137,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.595471456773137,"endHours":28.595471456773137,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.595471456773137,"endHours":29.595471456773137,"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":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-3.902453423603578,"eotMinutes":11.794329081555436,"ayanamsa":24.2267}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"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 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":"dhanbad"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 3, 2026 CE · Dhanbad, Jharkhand · Vidhyamitra","description":"October 3, 2026 CE for Dhanbad, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 05:36, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/dhanbad/2026-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/dhanbad/2026-10-03","sa":"https://sa.vidhyamitra.com/city/dhanbad/2026-10-03","hi":"https://hi.vidhyamitra.com/city/dhanbad/2026-10-03","x-default":"https://vidhyamitra.com/city/dhanbad/2026-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-07-23T17:22:01.613Z","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":"2026-07-23T17:22:01.613Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-07-23T17:22:01.613Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}