{"id":"vidhyamitra:city-day:ranchi:2168-10-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2168-10-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-10-24","date_display":"October 24, 2168 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":2168,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513202.770833,"kali_year":5270,"ahargana":1924737.2708,"sun":{"sidereal_longitude":183.8958,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":96.1462,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.2504,"elapsed_within_tithi_degrees":8.2504},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":96.1462,"elapsed_within_degrees":2.8129},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.042},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2168,"month":10,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513202.770833,"ahargana":1924737.2708,"kali_year":5270,"ayanamsa_lahiri":26.2112,"grahas":{"sun":{"sidereal_longitude":185.02262999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":97.92732999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":1.3885},"mars":{"sidereal_longitude":210.86672999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":188.76953000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":107.09393,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":226.76673000000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.33783000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":78.1569,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.1569,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513202.770833,"kali_year":5270,"ahargana":1924737.2708,"sun":{"sidereal_longitude":183.8958,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":96.1462,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":272.2504,"elapsed_within_tithi_degrees":8.2504},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":96.1462,"elapsed_within_degrees":2.8129},"yoga":{"number":22,"name":"Sādhya","sum_longitude":280.042},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.388,"elongation":87.75},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.388,"opposition_distance":92.25}},"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":"05:50","sunsetLocal":"17:15","solarNoonLocal":"11:33","dayLengthHours":11.42817896469832,"dayLengthDisplay":"11 Hours 25 Mins 41 Secs","nightLengthDisplay":"12 Hours 34 Mins 19 Secs","moonriseLocal":"23:07","moonsetLocal":"12:22","rahuKala":{"name":"Rāhu Kāla","start":"07:15","end":"08:41","startHours":7.2579170535466275,"endHours":8.686439424133917,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:07","end":"11:33","startHours":10.114961794721207,"endHours":11.543484165308499,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:58","end":"14:24","startHours":12.972006535895787,"endHours":14.400528906483078,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:53","startHours":8.49596977472228,"endHours":8.876909073545557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:37","startHours":6.305568806488434,"endHours":6.610320245547056,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:10","end":"11:55","startHours":11.162544866485222,"endHours":11.924423464131776,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:04","startHours":4.305637487666228,"endHours":5.067516085312783,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:50","startHours":4.8770464359011445,"endHours":5.829394682959338,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:27","end":"14:13","startHours":13.448180659424885,"endHours":14.210059257071439,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.05757364765766,"endHours":17.457573647657657,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:44","startHours":17.257573647657658,"endHours":17.733747771186756,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":17.007573647657658,"endHours":18.757573647657658,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:10","end":"23:55","startHours":23.16254486648522,"endHours":23.924423464131777,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:50","end":"07:15","startHours":5.829394682959338,"endHours":7.2579170535466275,"quality":"auspicious"},{"name":"Kāla","start":"07:15","end":"08:41","startHours":7.2579170535466275,"endHours":8.686439424133917,"quality":"inauspicious"},{"name":"Śubha","start":"08:41","end":"10:07","startHours":8.686439424133917,"endHours":10.114961794721207,"quality":"auspicious"},{"name":"Roga","start":"10:07","end":"11:33","startHours":10.114961794721207,"endHours":11.543484165308499,"quality":"inauspicious"},{"name":"Udveg","start":"11:33","end":"12:58","startHours":11.543484165308499,"endHours":12.972006535895787,"quality":"inauspicious"},{"name":"Chala","start":"12:58","end":"14:24","startHours":12.972006535895787,"endHours":14.400528906483078,"quality":"neutral"},{"name":"Labha","start":"14:24","end":"15:50","startHours":14.400528906483078,"endHours":15.829051277070368,"quality":"auspicious"},{"name":"Amṛta","start":"15:50","end":"17:15","startHours":15.829051277070368,"endHours":17.257573647657658,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:15","end":"18:50","startHours":17.257573647657658,"endHours":18.829051277070366,"quality":"neutral"},{"name":"Labha","start":"18:50","end":"20:24","startHours":18.829051277070366,"endHours":20.40052890648308,"quality":"auspicious"},{"name":"Amṛta","start":"20:24","end":"21:58","startHours":20.40052890648308,"endHours":21.972006535895787,"quality":"auspicious"},{"name":"Kāla","start":"21:58","end":"23:33","startHours":21.972006535895787,"endHours":23.5434841653085,"quality":"inauspicious"},{"name":"Śubha","start":"23:33","end":"01:07","startHours":23.5434841653085,"endHours":25.114961794721207,"quality":"auspicious"},{"name":"Roga","start":"01:07","end":"02:41","startHours":25.114961794721207,"endHours":26.686439424133916,"quality":"inauspicious"},{"name":"Udveg","start":"02:41","end":"04:15","startHours":26.686439424133916,"endHours":28.257917053546628,"quality":"inauspicious"},{"name":"Chala","start":"04:15","end":"05:50","startHours":28.257917053546628,"endHours":29.82939468295934,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.829394682959338,"endHours":6.829394682959338,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.829394682959338,"endHours":7.829394682959338,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.829394682959338,"endHours":8.829394682959338,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.829394682959338,"endHours":9.829394682959338,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.829394682959338,"endHours":10.829394682959338,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.829394682959338,"endHours":11.829394682959338,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.829394682959338,"endHours":12.829394682959338,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.829394682959338,"endHours":13.829394682959338,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.829394682959338,"endHours":14.829394682959338,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.829394682959338,"endHours":15.829394682959338,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.829394682959338,"endHours":16.82939468295934,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.82939468295934,"endHours":17.82939468295934,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.82939468295934,"endHours":18.82939468295934,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.82939468295934,"endHours":19.82939468295934,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.82939468295934,"endHours":20.82939468295934,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.82939468295934,"endHours":21.82939468295934,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.82939468295934,"endHours":22.82939468295934,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.82939468295934,"endHours":23.82939468295934,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.82939468295934,"endHours":24.82939468295934,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.82939468295934,"endHours":25.82939468295934,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.82939468295934,"endHours":26.82939468295934,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.82939468295934,"endHours":27.82939468295934,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.82939468295934,"endHours":28.82939468295934,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.82939468295934,"endHours":29.82939468295934,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-11.901921112639926,"eotMinutes":16.152550081490062,"ayanamsa":26.2112}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Aṣṭamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 Kṛṣṇa Aṣṭamī","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 24, 2168 CE · Ranchi, Jharkhand · Vidhyamitra","description":"October 24, 2168 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:50, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2168-10-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2168-10-24","sa":"https://sa.vidhyamitra.com/city/ranchi/2168-10-24","hi":"https://hi.vidhyamitra.com/city/ranchi/2168-10-24","x-default":"https://vidhyamitra.com/city/ranchi/2168-10-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T06:17:46.936Z","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":"2026-06-03T06:17:46.936Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T06:17:46.936Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}