{"id":"vidhyamitra:city-day:ranchi:2003-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2003-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-10-02","date_display":"October 2, 2003 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":2003,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452914.770833,"kali_year":5105,"ahargana":1864449.2708,"sun":{"sidereal_longitude":163.7844,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.4601,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.6757,"elapsed_within_tithi_degrees":5.6757},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.4601,"elapsed_within_degrees":1.4601},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.2445},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2003,"month":10,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452914.770833,"ahargana":1864449.2708,"kali_year":5105,"ayanamsa_lahiri":23.9054,"grahas":{"sun":{"sidereal_longitude":164.53907500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":244.78547500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":-2.1768},"mars":{"sidereal_longitude":306.248475,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":148.06297500000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":133.66087500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":176.42207499999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":78.71907499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":32.5053,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.5053,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452914.770833,"kali_year":5105,"ahargana":1864449.2708,"sun":{"sidereal_longitude":163.7844,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.4601,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.6757,"elapsed_within_tithi_degrees":5.6757},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.4601,"elapsed_within_degrees":1.4601},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.2445},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.177,"elongation":77.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.177,"opposition_distance":102.324}},"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":"05:39","sunsetLocal":"17:35","solarNoonLocal":"11:37","dayLengthHours":11.928270121786113,"dayLengthDisplay":"11 Hours 55 Mins 42 Secs","nightLengthDisplay":"12 Hours 04 Mins 18 Secs","moonriseLocal":"11:39","moonsetLocal":"22:18","rahuKala":{"name":"Rāhu Kāla","start":"13:07","end":"14:36","startHours":13.112319766359299,"endHours":14.603353531582563,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:39","end":"07:09","startHours":5.657150940242979,"endHours":7.148184705466243,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:38","end":"10:08","startHours":8.639218470689507,"endHours":10.13025223591277,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:50","startHours":8.440413968659739,"endHours":8.838022972719276,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:28","startHours":6.154162195317401,"endHours":6.4722493985650305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:13","end":"12:01","startHours":11.223676997076497,"endHours":12.018895005195573,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:04","end":"04:52","startHours":4.066714924004831,"endHours":4.861932932123905,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:39","startHours":4.663128430094137,"endHours":5.657150940242979,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:24","startHours":13.609331021433722,"endHours":14.404549029552795,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.385421062029092,"endHours":17.78542106202909,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:05","startHours":17.58542106202909,"endHours":18.082432317103514,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33542106202909,"endHours":19.08542106202909,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:13","end":"00:01","startHours":23.2236769970765,"endHours":24.01889500519557,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:39","end":"07:09","startHours":5.657150940242979,"endHours":7.148184705466243,"quality":"auspicious"},{"name":"Roga","start":"07:09","end":"08:38","startHours":7.148184705466243,"endHours":8.639218470689507,"quality":"inauspicious"},{"name":"Udveg","start":"08:38","end":"10:08","startHours":8.639218470689507,"endHours":10.13025223591277,"quality":"inauspicious"},{"name":"Chala","start":"10:08","end":"11:37","startHours":10.13025223591277,"endHours":11.621286001136035,"quality":"neutral"},{"name":"Labha","start":"11:37","end":"13:07","startHours":11.621286001136035,"endHours":13.112319766359299,"quality":"auspicious"},{"name":"Amṛta","start":"13:07","end":"14:36","startHours":13.112319766359299,"endHours":14.603353531582563,"quality":"auspicious"},{"name":"Kāla","start":"14:36","end":"16:06","startHours":14.603353531582563,"endHours":16.094387296805827,"quality":"inauspicious"},{"name":"Śubha","start":"16:06","end":"17:35","startHours":16.094387296805827,"endHours":17.58542106202909,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:35","end":"19:06","startHours":17.58542106202909,"endHours":19.094387296805827,"quality":"auspicious"},{"name":"Kāla","start":"19:06","end":"20:36","startHours":19.094387296805827,"endHours":20.603353531582563,"quality":"inauspicious"},{"name":"Śubha","start":"20:36","end":"22:07","startHours":20.603353531582563,"endHours":22.1123197663593,"quality":"auspicious"},{"name":"Roga","start":"22:07","end":"23:37","startHours":22.1123197663593,"endHours":23.621286001136035,"quality":"inauspicious"},{"name":"Udveg","start":"23:37","end":"01:08","startHours":23.621286001136035,"endHours":25.13025223591277,"quality":"inauspicious"},{"name":"Chala","start":"01:08","end":"02:38","startHours":25.13025223591277,"endHours":26.639218470689507,"quality":"neutral"},{"name":"Labha","start":"02:38","end":"04:09","startHours":26.639218470689507,"endHours":28.148184705466242,"quality":"auspicious"},{"name":"Amṛta","start":"04:09","end":"05:39","startHours":28.148184705466242,"endHours":29.65715094024298,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.657150940242979,"endHours":6.657150940242979,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.657150940242979,"endHours":7.657150940242979,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.657150940242979,"endHours":8.657150940242978,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.657150940242978,"endHours":9.657150940242978,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.657150940242978,"endHours":10.657150940242978,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.657150940242978,"endHours":11.657150940242978,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.657150940242978,"endHours":12.657150940242978,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.657150940242978,"endHours":13.657150940242978,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.657150940242978,"endHours":14.657150940242978,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.657150940242978,"endHours":15.657150940242978,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.657150940242978,"endHours":16.65715094024298,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.65715094024298,"endHours":17.65715094024298,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.65715094024298,"endHours":18.65715094024298,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.65715094024298,"endHours":19.65715094024298,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.65715094024298,"endHours":20.65715094024298,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.65715094024298,"endHours":21.65715094024298,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.65715094024298,"endHours":22.65715094024298,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.65715094024298,"endHours":23.65715094024298,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.65715094024298,"endHours":24.65715094024298,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.65715094024298,"endHours":25.65715094024298,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.65715094024298,"endHours":26.65715094024298,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.65715094024298,"endHours":27.65715094024298,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.65715094024298,"endHours":28.65715094024298,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.65715094024298,"endHours":29.65715094024298,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvaja","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":-3.3484012591817294,"eotMinutes":11.484439931837855,"ayanamsa":23.9054}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","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 Śukla Saptamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 2, 2003 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 2, 2003 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 05:39, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2003-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2003-10-02","sa":"https://sa.vidhyamitra.com/city/ranchi/2003-10-02","hi":"https://hi.vidhyamitra.com/city/ranchi/2003-10-02","x-default":"https://vidhyamitra.com/city/ranchi/2003-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:28:22.139Z","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":"2026-06-01T19:28:22.139Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:28:22.139Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}