{"id":"vidhyamitra:city-day:ranchi:2126-10-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2126-10-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-10-06","date_display":"October 6, 2126 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":2126,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497843.770833,"kali_year":5228,"ahargana":1909378.2708,"sun":{"sidereal_longitude":165.9228,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":39.0566,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1338,"elapsed_within_tithi_degrees":5.1338},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.0566,"elapsed_within_degrees":12.3899},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.9793},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2126,"month":10,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497843.770833,"ahargana":1909378.2708,"kali_year":5228,"ayanamsa_lahiri":25.6238,"grahas":{"sun":{"sidereal_longitude":166.975457,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":35.92615699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-3.2952},"mars":{"sidereal_longitude":133.42015700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":182.39515700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":240.315657,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":168.64875699999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":143.17685700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":171.9506,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.9506,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2126,"month":10,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497843.770833,"kali_year":5228,"ahargana":1909378.2708,"sun":{"sidereal_longitude":165.9228,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":39.0566,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.1338,"elapsed_within_tithi_degrees":5.1338},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":39.0566,"elapsed_within_degrees":12.3899},"yoga":{"number":16,"name":"Siddhi","sum_longitude":204.9793},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.295,"elongation":126.866},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.295,"opposition_distance":53.134}},"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":"05:41","sunsetLocal":"17:31","solarNoonLocal":"11:36","dayLengthHours":11.834284099820984,"dayLengthDisplay":"11 Hours 50 Mins 03 Secs","nightLengthDisplay":"12 Hours 09 Mins 57 Secs","moonriseLocal":"20:12","moonsetLocal":"09:32","rahuKala":{"name":"Rāhu Kāla","start":"16:02","end":"17:31","startHours":16.039222784135077,"endHours":17.5185082966127,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:36","end":"13:05","startHours":11.60136624670221,"endHours":13.080651759179833,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:34","end":"16:02","startHours":14.559937271657455,"endHours":16.039222784135077,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:50","startHours":8.445557153416614,"endHours":8.840033290077313,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:30","startHours":6.177319367617592,"endHours":6.492900276946152,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:12","end":"12:00","startHours":11.20689011004151,"endHours":11.995842383362909,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:06","end":"04:54","startHours":4.10631965014892,"endHours":4.895271923470318,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:41","startHours":4.698033855139969,"endHours":5.6842241967917175,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:22","startHours":13.573746930005708,"endHours":14.362699203327107,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.318508296612702,"endHours":17.7185082966127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"18:01","startHours":17.5185082966127,"endHours":18.011603467438576,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.2685082966127,"endHours":19.0185082966127,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:12","end":"00:00","startHours":23.20689011004151,"endHours":23.99584238336291,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:41","end":"07:10","startHours":5.6842241967917175,"endHours":7.1635097092693405,"quality":"inauspicious"},{"name":"Chala","start":"07:10","end":"08:39","startHours":7.1635097092693405,"endHours":8.642795221746963,"quality":"neutral"},{"name":"Labha","start":"08:39","end":"10:07","startHours":8.642795221746963,"endHours":10.122080734224586,"quality":"auspicious"},{"name":"Amṛta","start":"10:07","end":"11:36","startHours":10.122080734224586,"endHours":11.60136624670221,"quality":"auspicious"},{"name":"Kāla","start":"11:36","end":"13:05","startHours":11.60136624670221,"endHours":13.080651759179833,"quality":"inauspicious"},{"name":"Śubha","start":"13:05","end":"14:34","startHours":13.080651759179833,"endHours":14.559937271657455,"quality":"auspicious"},{"name":"Roga","start":"14:34","end":"16:02","startHours":14.559937271657455,"endHours":16.039222784135077,"quality":"inauspicious"},{"name":"Udveg","start":"16:02","end":"17:31","startHours":16.039222784135077,"endHours":17.5185082966127,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:31","end":"19:02","startHours":17.5185082966127,"endHours":19.039222784135077,"quality":"auspicious"},{"name":"Roga","start":"19:02","end":"20:34","startHours":19.039222784135077,"endHours":20.559937271657454,"quality":"inauspicious"},{"name":"Udveg","start":"20:34","end":"22:05","startHours":20.559937271657454,"endHours":22.080651759179833,"quality":"inauspicious"},{"name":"Chala","start":"22:05","end":"23:36","startHours":22.080651759179833,"endHours":23.60136624670221,"quality":"neutral"},{"name":"Labha","start":"23:36","end":"01:07","startHours":23.60136624670221,"endHours":25.122080734224586,"quality":"auspicious"},{"name":"Amṛta","start":"01:07","end":"02:39","startHours":25.122080734224586,"endHours":26.642795221746965,"quality":"auspicious"},{"name":"Kāla","start":"02:39","end":"04:10","startHours":26.642795221746965,"endHours":28.16350970926934,"quality":"inauspicious"},{"name":"Śubha","start":"04:10","end":"05:41","startHours":28.16350970926934,"endHours":29.684224196791718,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.6842241967917175,"endHours":6.6842241967917175,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.6842241967917175,"endHours":7.6842241967917175,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.6842241967917175,"endHours":8.684224196791718,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.684224196791718,"endHours":9.684224196791718,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.684224196791718,"endHours":10.684224196791718,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.684224196791718,"endHours":11.684224196791718,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.684224196791718,"endHours":12.684224196791718,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.684224196791718,"endHours":13.684224196791718,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.684224196791718,"endHours":14.684224196791718,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.684224196791718,"endHours":15.684224196791718,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.684224196791718,"endHours":16.684224196791718,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.684224196791718,"endHours":17.684224196791718,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.684224196791718,"endHours":18.684224196791718,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.684224196791718,"endHours":19.684224196791718,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.684224196791718,"endHours":20.684224196791718,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.684224196791718,"endHours":21.684224196791718,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.684224196791718,"endHours":22.684224196791718,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.684224196791718,"endHours":23.684224196791718,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.684224196791718,"endHours":24.684224196791718,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.684224196791718,"endHours":25.684224196791718,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.684224196791718,"endHours":26.684224196791718,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.684224196791718,"endHours":27.684224196791718,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.684224196791718,"endHours":28.684224196791718,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.684224196791718,"endHours":29.684224196791718,"planetary_lord":"Jupiter"}],"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":["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":"Dhūmra","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":-4.977102212987532,"eotMinutes":12.679625197867345,"ayanamsa":25.6238}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"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 2183 Vikāri · Śaka 2048 Vyaya"},"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":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 6, 2126 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 6, 2126 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:41, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2126-10-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2126-10-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2126-10-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2126-10-06","x-default":"https://vidhyamitra.com/city/ranchi/2126-10-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:05:12.428Z","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":"2026-06-02T07:05:12.428Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:05:12.428Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}