{"id":"vidhyamitra:city-day:ranchi:2140-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2140-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2140-05-04","date_display":"May 4, 2140 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":2140,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502802.770833,"kali_year":5242,"ahargana":1914337.2708,"sun":{"sidereal_longitude":17.9289,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":220.9782,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.0493,"elapsed_within_tithi_degrees":11.0493},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.9782,"elapsed_within_degrees":7.6449},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.9072},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2140,"month":5,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502802.770833,"ahargana":1914337.2708,"kali_year":5242,"ayanamsa_lahiri":25.8134,"grahas":{"sun":{"sidereal_longitude":18.203187000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":218.99938699999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":-3.3542},"mars":{"sidereal_longitude":159.58518700000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":36.94388700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":314.15348700000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":11.211587000000009,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":301.29928700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":269.199,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":89.199,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2140,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502802.770833,"kali_year":5242,"ahargana":1914337.2708,"sun":{"sidereal_longitude":17.9289,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":220.9782,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":203.0493,"elapsed_within_tithi_degrees":11.0493},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":220.9782,"elapsed_within_degrees":7.6449},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.9072},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.354,"elongation":156.951},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.354,"opposition_distance":23.049}},"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":"05:13","sunsetLocal":"18:18","solarNoonLocal":"11:46","dayLengthHours":13.077570325716373,"dayLengthDisplay":"13 Hours 04 Mins 39 Secs","nightLengthDisplay":"10 Hours 55 Mins 21 Secs","moonriseLocal":"19:44","moonsetLocal":"06:33","rahuKala":{"name":"Rāhu Kāla","start":"11:46","end":"13:24","startHours":11.758385706365335,"endHours":13.393081997079882,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:51","end":"08:29","startHours":6.854296834221696,"endHours":8.488993124936243,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:07","end":"11:46","startHours":10.123689415650789,"endHours":11.758385706365335,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:42","startHours":8.271033619507637,"endHours":8.70695263036485,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:46","end":"06:07","startHours":5.7644993070786645,"endHours":6.113234515764434,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.322466695508123,"endHours":12.194304717222547,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:21","startHours":3.4759245000782997,"endHours":4.347762521792724,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:13","startHours":4.129803016364118,"endHours":5.219600543507149,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:49","startHours":13.937980760651396,"endHours":14.80981878236582,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.097170869223522,"endHours":18.49717086922352,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:51","startHours":18.29717086922352,"endHours":18.842069632795038,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.04717086922352,"endHours":19.79717086922352,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.322466695508123,"endHours":24.194304717222547,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:13","end":"06:51","startHours":5.219600543507149,"endHours":6.854296834221696,"quality":"auspicious"},{"name":"Amṛta","start":"06:51","end":"08:29","startHours":6.854296834221696,"endHours":8.488993124936243,"quality":"auspicious"},{"name":"Kāla","start":"08:29","end":"10:07","startHours":8.488993124936243,"endHours":10.123689415650789,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:46","startHours":10.123689415650789,"endHours":11.758385706365335,"quality":"auspicious"},{"name":"Roga","start":"11:46","end":"13:24","startHours":11.758385706365335,"endHours":13.393081997079882,"quality":"inauspicious"},{"name":"Udveg","start":"13:24","end":"15:02","startHours":13.393081997079882,"endHours":15.02777828779443,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:40","startHours":15.02777828779443,"endHours":16.662474578508974,"quality":"neutral"},{"name":"Labha","start":"16:40","end":"18:18","startHours":16.662474578508974,"endHours":18.29717086922352,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:18","end":"19:40","startHours":18.29717086922352,"endHours":19.662474578508974,"quality":"inauspicious"},{"name":"Chala","start":"19:40","end":"21:02","startHours":19.662474578508974,"endHours":21.027778287794426,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:24","startHours":21.027778287794426,"endHours":22.393081997079882,"quality":"auspicious"},{"name":"Amṛta","start":"22:24","end":"23:46","startHours":22.393081997079882,"endHours":23.758385706365335,"quality":"auspicious"},{"name":"Kāla","start":"23:46","end":"01:07","startHours":23.758385706365335,"endHours":25.123689415650787,"quality":"inauspicious"},{"name":"Śubha","start":"01:07","end":"02:29","startHours":25.123689415650787,"endHours":26.488993124936243,"quality":"auspicious"},{"name":"Roga","start":"02:29","end":"03:51","startHours":26.488993124936243,"endHours":27.854296834221696,"quality":"inauspicious"},{"name":"Udveg","start":"03:51","end":"05:13","startHours":27.854296834221696,"endHours":29.21960054350715,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.219600543507149,"endHours":6.219600543507149,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.219600543507149,"endHours":7.219600543507149,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.219600543507149,"endHours":8.219600543507148,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.219600543507148,"endHours":9.219600543507148,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.219600543507148,"endHours":10.219600543507148,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.219600543507148,"endHours":11.219600543507148,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.219600543507148,"endHours":12.219600543507148,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.219600543507148,"endHours":13.219600543507148,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.219600543507148,"endHours":14.219600543507148,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.219600543507148,"endHours":15.219600543507148,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.219600543507148,"endHours":16.21960054350715,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.21960054350715,"endHours":17.21960054350715,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.21960054350715,"endHours":18.21960054350715,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.21960054350715,"endHours":19.21960054350715,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.21960054350715,"endHours":20.21960054350715,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.21960054350715,"endHours":21.21960054350715,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.21960054350715,"endHours":22.21960054350715,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.21960054350715,"endHours":23.21960054350715,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.21960054350715,"endHours":24.21960054350715,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.21960054350715,"endHours":25.21960054350715,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.21960054350715,"endHours":26.21960054350715,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.21960054350715,"endHours":27.21960054350715,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.21960054350715,"endHours":28.21960054350715,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.21960054350715,"endHours":29.21960054350715,"planetary_lord":"Sun"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.04373338970181,"eotMinutes":3.258457618079846,"ayanamsa":25.8134}},"calendars":{"vikram_samvat":2197,"vikram_samvatsara":"Pramādī","saka_samvat":2062,"saka_samvatsara":"Śārvarī","bengali_samvat":1547,"malayalam_era":1316,"nanakshahi_year":671,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Dvitīyā · Vikram 2197 Pramādī · Śaka 2062 Śārvarī"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 May 4, 2140 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 4, 2140 CE for Ranchi, Jharkhand: Kṛṣṇa Dvitīyā, sūryodaya 05:13, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2140-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2140-05-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2140-05-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2140-05-04","x-default":"https://vidhyamitra.com/city/ranchi/2140-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:08:38.205Z","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":"2026-06-02T02:08:38.205Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:08:38.205Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}