{"id":"vidhyamitra:city-day:ranchi:2004-10-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2004-10-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-10-03","date_display":"October 3, 2004 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":2004,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453281.770833,"kali_year":5106,"ahargana":1864816.2708,"sun":{"sidereal_longitude":165.4977,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.5168,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0191,"elapsed_within_tithi_degrees":7.0191},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.5168,"elapsed_within_degrees":0.5168},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.0144},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2004,"month":10,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453281.770833,"ahargana":1864816.2708,"kali_year":5106,"ayanamsa_lahiri":23.9194,"grahas":{"sun":{"sidereal_longitude":166.25435300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":39.176153,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":2.0732},"mars":{"sidereal_longitude":160.34575300000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":164.00645299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":158.04735299999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":125.235253,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":92.12535300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":13.0598,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":193.0598,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":"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":2004,"month":10,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453281.770833,"kali_year":5106,"ahargana":1864816.2708,"sun":{"sidereal_longitude":165.4977,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":40.5168,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":235.0191,"elapsed_within_tithi_degrees":7.0191},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.5168,"elapsed_within_degrees":0.5168},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.0144},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.073,"elongation":124.981},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.073,"opposition_distance":55.019}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":1.411,"elongation":2.18}]},"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":"17:34","solarNoonLocal":"11:37","dayLengthHours":11.889060097536008,"dayLengthDisplay":"11 Hours 53 Mins 21 Secs","nightLengthDisplay":"12 Hours 06 Mins 39 Secs","moonriseLocal":"20:28","moonsetLocal":"09:49","rahuKala":{"name":"Rāhu Kāla","start":"16:04","end":"17:34","startHours":16.07451871855008,"endHours":17.56065123074208,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:37","end":"13:06","startHours":11.616121181974076,"endHours":13.102253694166079,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:35","end":"16:04","startHours":14.588386206358079,"endHours":16.07451871855008,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:51","startHours":8.445705155964475,"endHours":8.842007159215676,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:29","startHours":6.166968637270074,"endHours":6.484010239871034,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:13","end":"12:01","startHours":11.219819178722876,"endHours":12.012423185225277,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:53","startHours":4.086383120201272,"endHours":4.878987126703673,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:40","startHours":4.680836125078073,"endHours":5.671591133206073,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:36","end":"14:23","startHours":13.59763119823008,"endHours":14.39023520473248,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.360651230742082,"endHours":17.76065123074208,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:03","startHours":17.56065123074208,"endHours":18.05602873480608,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31065123074208,"endHours":19.06065123074208,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:13","end":"00:01","startHours":23.219819178722876,"endHours":24.012423185225277,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:40","end":"07:09","startHours":5.671591133206073,"endHours":7.157723645398074,"quality":"inauspicious"},{"name":"Chala","start":"07:09","end":"08:39","startHours":7.157723645398074,"endHours":8.643856157590076,"quality":"neutral"},{"name":"Labha","start":"08:39","end":"10:08","startHours":8.643856157590076,"endHours":10.129988669782076,"quality":"auspicious"},{"name":"Amṛta","start":"10:08","end":"11:37","startHours":10.129988669782076,"endHours":11.616121181974076,"quality":"auspicious"},{"name":"Kāla","start":"11:37","end":"13:06","startHours":11.616121181974076,"endHours":13.102253694166079,"quality":"inauspicious"},{"name":"Śubha","start":"13:06","end":"14:35","startHours":13.102253694166079,"endHours":14.588386206358079,"quality":"auspicious"},{"name":"Roga","start":"14:35","end":"16:04","startHours":14.588386206358079,"endHours":16.07451871855008,"quality":"inauspicious"},{"name":"Udveg","start":"16:04","end":"17:34","startHours":16.07451871855008,"endHours":17.56065123074208,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:34","end":"19:04","startHours":17.56065123074208,"endHours":19.07451871855008,"quality":"auspicious"},{"name":"Roga","start":"19:04","end":"20:35","startHours":19.07451871855008,"endHours":20.58838620635808,"quality":"inauspicious"},{"name":"Udveg","start":"20:35","end":"22:06","startHours":20.58838620635808,"endHours":22.10225369416608,"quality":"inauspicious"},{"name":"Chala","start":"22:06","end":"23:37","startHours":22.10225369416608,"endHours":23.616121181974076,"quality":"neutral"},{"name":"Labha","start":"23:37","end":"01:08","startHours":23.616121181974076,"endHours":25.129988669782076,"quality":"auspicious"},{"name":"Amṛta","start":"01:08","end":"02:39","startHours":25.129988669782076,"endHours":26.643856157590076,"quality":"auspicious"},{"name":"Kāla","start":"02:39","end":"04:09","startHours":26.643856157590076,"endHours":28.15772364539807,"quality":"inauspicious"},{"name":"Śubha","start":"04:09","end":"05:40","startHours":28.15772364539807,"endHours":29.67159113320607,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.671591133206073,"endHours":6.671591133206073,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.671591133206073,"endHours":7.671591133206073,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.671591133206073,"endHours":8.671591133206073,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.671591133206073,"endHours":9.671591133206073,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.671591133206073,"endHours":10.671591133206073,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.671591133206073,"endHours":11.671591133206073,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.671591133206073,"endHours":12.671591133206073,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.671591133206073,"endHours":13.671591133206073,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.671591133206073,"endHours":14.671591133206073,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.671591133206073,"endHours":15.671591133206073,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.671591133206073,"endHours":16.67159113320607,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.67159113320607,"endHours":17.67159113320607,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.67159113320607,"endHours":18.67159113320607,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.67159113320607,"endHours":19.67159113320607,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.67159113320607,"endHours":20.67159113320607,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.67159113320607,"endHours":21.67159113320607,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.67159113320607,"endHours":22.67159113320607,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.67159113320607,"endHours":23.67159113320607,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.67159113320607,"endHours":24.67159113320607,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.67159113320607,"endHours":25.67159113320607,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.67159113320607,"endHours":26.67159113320607,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.67159113320607,"endHours":27.67159113320607,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.67159113320607,"endHours":28.67159113320607,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.67159113320607,"endHours":29.67159113320607,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","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":-4.028520083521751,"eotMinutes":11.794329081555436,"ayanamsa":23.9194}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"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 Pañcamī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"festivals":[],"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 3, 2004 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 3, 2004 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:40, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2004-10-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2004-10-03","sa":"https://sa.vidhyamitra.com/city/ranchi/2004-10-03","hi":"https://hi.vidhyamitra.com/city/ranchi/2004-10-03","x-default":"https://vidhyamitra.com/city/ranchi/2004-10-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:06:00.490Z","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":"2026-05-31T16:06:00.490Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:06:00.490Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}