{"id":"vidhyamitra:city-day:ranchi:2165-04-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2165-04-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-04-01","date_display":"April 1, 2165 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":2165,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511900.770833,"kali_year":5266,"ahargana":1923435.2708,"sun":{"sidereal_longitude":345.2778,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":216.4831,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.2053,"elapsed_within_tithi_degrees":3.2053},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":216.4831,"elapsed_within_degrees":3.1497},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.7609},"karana":{"half_tithi_index":38,"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":2165,"month":4,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511900.770833,"ahargana":1923435.2708,"kali_year":5266,"ayanamsa_lahiri":26.1614,"grahas":{"sun":{"sidereal_longitude":345.490976,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":214.49507600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":4.2101},"mars":{"sidereal_longitude":300.045476,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":318.3087760000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":343.188576,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":355.471476,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":250.25127599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":147.1431,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":327.1431,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":4,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511900.770833,"kali_year":5266,"ahargana":1923435.2708,"sun":{"sidereal_longitude":345.2778,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":216.4831,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.2053,"elapsed_within_tithi_degrees":3.2053},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":216.4831,"elapsed_within_degrees":3.1497},"yoga":{"number":16,"name":"Siddhi","sum_longitude":201.7609},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.21,"elongation":128.795},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.21,"opposition_distance":51.205}},"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":"18:05","solarNoonLocal":"11:53","dayLengthHours":12.387236642141378,"dayLengthDisplay":"12 Hours 23 Mins 14 Secs","nightLengthDisplay":"11 Hours 36 Mins 46 Secs","moonriseLocal":"21:43","moonsetLocal":"08:35","rahuKala":{"name":"Rāhu Kāla","start":"07:14","end":"08:47","startHours":7.239884527549506,"endHours":8.788289107817178,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:20","end":"11:53","startHours":10.336693688084852,"endHours":11.885098268352523,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:59","startHours":13.433502848620195,"endHours":14.981907428887869,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:00","startHours":8.58183516378149,"endHours":8.994743051852868,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:32","startHours":6.207614807371058,"endHours":6.5379411178281615,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:18","startHours":11.472190380281145,"endHours":12.298006156423902,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:02","end":"04:52","startHours":4.0398483949963175,"endHours":4.865664171139076,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:41","startHours":4.659210227103387,"endHours":5.6914799472818345,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:47","startHours":13.949637708709421,"endHours":14.77545348485218,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.878716589423213,"endHours":18.27871658942321,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:36","startHours":18.078716589423212,"endHours":18.594851449512436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.828716589423212,"endHours":19.578716589423212,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:18","startHours":23.47219038028114,"endHours":24.298006156423902,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:14","startHours":5.6914799472818345,"endHours":7.239884527549506,"quality":"auspicious"},{"name":"Kāla","start":"07:14","end":"08:47","startHours":7.239884527549506,"endHours":8.788289107817178,"quality":"inauspicious"},{"name":"Śubha","start":"08:47","end":"10:20","startHours":8.788289107817178,"endHours":10.336693688084852,"quality":"auspicious"},{"name":"Roga","start":"10:20","end":"11:53","startHours":10.336693688084852,"endHours":11.885098268352523,"quality":"inauspicious"},{"name":"Udveg","start":"11:53","end":"13:26","startHours":11.885098268352523,"endHours":13.433502848620195,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:59","startHours":13.433502848620195,"endHours":14.981907428887869,"quality":"neutral"},{"name":"Labha","start":"14:59","end":"16:32","startHours":14.981907428887869,"endHours":16.53031200915554,"quality":"auspicious"},{"name":"Amṛta","start":"16:32","end":"18:05","startHours":16.53031200915554,"endHours":18.078716589423212,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:32","startHours":18.078716589423212,"endHours":19.53031200915554,"quality":"neutral"},{"name":"Labha","start":"19:32","end":"20:59","startHours":19.53031200915554,"endHours":20.98190742888787,"quality":"auspicious"},{"name":"Amṛta","start":"20:59","end":"22:26","startHours":20.98190742888787,"endHours":22.433502848620194,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"23:53","startHours":22.433502848620194,"endHours":23.88509826835252,"quality":"inauspicious"},{"name":"Śubha","start":"23:53","end":"01:20","startHours":23.88509826835252,"endHours":25.33669368808485,"quality":"auspicious"},{"name":"Roga","start":"01:20","end":"02:47","startHours":25.33669368808485,"endHours":26.788289107817178,"quality":"inauspicious"},{"name":"Udveg","start":"02:47","end":"04:14","startHours":26.788289107817178,"endHours":28.239884527549506,"quality":"inauspicious"},{"name":"Chala","start":"04:14","end":"05:41","startHours":28.239884527549506,"endHours":29.691479947281834,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.6914799472818345,"endHours":6.6914799472818345,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.6914799472818345,"endHours":7.6914799472818345,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.6914799472818345,"endHours":8.691479947281834,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.691479947281834,"endHours":9.691479947281834,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.691479947281834,"endHours":10.691479947281834,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.691479947281834,"endHours":11.691479947281834,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.691479947281834,"endHours":12.691479947281834,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.691479947281834,"endHours":13.691479947281834,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.691479947281834,"endHours":14.691479947281834,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.691479947281834,"endHours":15.691479947281834,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.691479947281834,"endHours":16.691479947281834,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.691479947281834,"endHours":17.691479947281834,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.691479947281834,"endHours":18.691479947281834,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.691479947281834,"endHours":19.691479947281834,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.691479947281834,"endHours":20.691479947281834,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.691479947281834,"endHours":21.691479947281834,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.691479947281834,"endHours":22.691479947281834,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.691479947281834,"endHours":23.691479947281834,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.691479947281834,"endHours":24.691479947281834,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.691479947281834,"endHours":25.691479947281834,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.691479947281834,"endHours":26.691479947281834,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.691479947281834,"endHours":27.691479947281834,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.691479947281834,"endHours":28.691479947281834,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.691479947281834,"endHours":29.691479947281834,"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.6076112779353,"eotMinutes":-4.344296101151456,"ayanamsa":26.1614}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Pañcamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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":[]},"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 April 1, 2165 CE · Ranchi, Jharkhand · Vidhyamitra","description":"April 1, 2165 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:41, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2165-04-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2165-04-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2165-04-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2165-04-01","x-default":"https://vidhyamitra.com/city/ranchi/2165-04-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T03:04:10.220Z","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":"2026-06-03T03:04:10.220Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T03:04:10.220Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}