{"id":"vidhyamitra:city-day:ranchi:1875-05-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1875-05-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-05-10","date_display":"May 10, 1875 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":1875,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406018.770833,"kali_year":4977,"ahargana":1817553.2708,"sun":{"sidereal_longitude":27.1404,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":85.6508,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.5104,"elapsed_within_tithi_degrees":10.5104},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.6508,"elapsed_within_degrees":5.6508},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.7912},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":1875,"month":5,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406018.770833,"ahargana":1817553.2708,"kali_year":4977,"ayanamsa_lahiri":22.1118,"grahas":{"sun":{"sidereal_longitude":26.845347000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":88.21164699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":4.4982},"mars":{"sidereal_longitude":253.631847,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":29.384646999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":183.24574699999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":353.460247,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":304.4779470000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":357.281,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":177.281,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1875,"month":5,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406018.770833,"kali_year":4977,"ahargana":1817553.2708,"sun":{"sidereal_longitude":27.1404,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":85.6508,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":58.5104,"elapsed_within_tithi_degrees":10.5104},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.6508,"elapsed_within_degrees":5.6508},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.7912},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.498,"elongation":58.51},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.498,"opposition_distance":121.49}},"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":"05:10","sunsetLocal":"18:20","solarNoonLocal":"11:45","dayLengthHours":13.168134192680576,"dayLengthDisplay":"13 Hours 10 Mins 05 Secs","nightLengthDisplay":"10 Hours 49 Mins 55 Secs","moonriseLocal":"09:08","moonsetLocal":"22:33","rahuKala":{"name":"Rāhu Kāla","start":"06:49","end":"08:28","startHours":6.81336591401056,"endHours":8.459382688095632,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:06","end":"11:45","startHours":10.105399462180703,"endHours":11.751416236265776,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:24","end":"15:03","startHours":13.397433010350849,"endHours":15.04344978443592,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:14","end":"08:41","startHours":8.239913784884289,"endHours":8.678851591306975,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:43","end":"06:04","startHours":5.7160213979538455,"endHours":6.067171643091994,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:11","startHours":11.31247842984309,"endHours":12.190354042688462,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:17","startHours":3.4115979142347443,"endHours":4.289473527080116,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:04","end":"05:10","startHours":4.070004623868773,"endHours":5.167349139925488,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:49","startHours":13.946105268379206,"endHours":14.823980881224578,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.135483332606064,"endHours":18.535483332606063,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:53","startHours":18.335483332606064,"endHours":18.88415559063442,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.085483332606064,"endHours":19.835483332606064,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:11","startHours":23.31247842984309,"endHours":24.190354042688462,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:10","end":"06:49","startHours":5.167349139925488,"endHours":6.81336591401056,"quality":"auspicious"},{"name":"Kāla","start":"06:49","end":"08:28","startHours":6.81336591401056,"endHours":8.459382688095632,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"10:06","startHours":8.459382688095632,"endHours":10.105399462180703,"quality":"auspicious"},{"name":"Roga","start":"10:06","end":"11:45","startHours":10.105399462180703,"endHours":11.751416236265776,"quality":"inauspicious"},{"name":"Udveg","start":"11:45","end":"13:24","startHours":11.751416236265776,"endHours":13.397433010350849,"quality":"inauspicious"},{"name":"Chala","start":"13:24","end":"15:03","startHours":13.397433010350849,"endHours":15.04344978443592,"quality":"neutral"},{"name":"Labha","start":"15:03","end":"16:41","startHours":15.04344978443592,"endHours":16.68946655852099,"quality":"auspicious"},{"name":"Amṛta","start":"16:41","end":"18:20","startHours":16.68946655852099,"endHours":18.335483332606064,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:20","end":"19:41","startHours":18.335483332606064,"endHours":19.68946655852099,"quality":"neutral"},{"name":"Labha","start":"19:41","end":"21:03","startHours":19.68946655852099,"endHours":21.04344978443592,"quality":"auspicious"},{"name":"Amṛta","start":"21:03","end":"22:24","startHours":21.04344978443592,"endHours":22.39743301035085,"quality":"auspicious"},{"name":"Kāla","start":"22:24","end":"23:45","startHours":22.39743301035085,"endHours":23.751416236265776,"quality":"inauspicious"},{"name":"Śubha","start":"23:45","end":"01:06","startHours":23.751416236265776,"endHours":25.105399462180703,"quality":"auspicious"},{"name":"Roga","start":"01:06","end":"02:28","startHours":25.105399462180703,"endHours":26.45938268809563,"quality":"inauspicious"},{"name":"Udveg","start":"02:28","end":"03:49","startHours":26.45938268809563,"endHours":27.81336591401056,"quality":"inauspicious"},{"name":"Chala","start":"03:49","end":"05:10","startHours":27.81336591401056,"endHours":29.167349139925488,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:10","end":"06:10","startHours":5.167349139925488,"endHours":6.167349139925488,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:10","end":"07:10","startHours":6.167349139925488,"endHours":7.167349139925488,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:10","end":"08:10","startHours":7.167349139925488,"endHours":8.167349139925488,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:10","end":"09:10","startHours":8.167349139925488,"endHours":9.167349139925488,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:10","end":"10:10","startHours":9.167349139925488,"endHours":10.167349139925488,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:10","end":"11:10","startHours":10.167349139925488,"endHours":11.167349139925488,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:10","end":"12:10","startHours":11.167349139925488,"endHours":12.167349139925488,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:10","end":"13:10","startHours":12.167349139925488,"endHours":13.167349139925488,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:10","end":"14:10","startHours":13.167349139925488,"endHours":14.167349139925488,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:10","end":"15:10","startHours":14.167349139925488,"endHours":15.167349139925488,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:10","end":"16:10","startHours":15.167349139925488,"endHours":16.167349139925488,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:10","end":"17:10","startHours":16.167349139925488,"endHours":17.167349139925488,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:10","end":"18:10","startHours":17.167349139925488,"endHours":18.167349139925488,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:10","end":"19:10","startHours":18.167349139925488,"endHours":19.167349139925488,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:10","end":"20:10","startHours":19.167349139925488,"endHours":20.167349139925488,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:10","end":"21:10","startHours":20.167349139925488,"endHours":21.167349139925488,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:10","end":"22:10","startHours":21.167349139925488,"endHours":22.167349139925488,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:10","end":"23:10","startHours":22.167349139925488,"endHours":23.167349139925488,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:10","end":"00:10","startHours":23.167349139925488,"endHours":24.167349139925488,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:10","end":"01:10","startHours":24.167349139925488,"endHours":25.167349139925488,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:10","end":"02:10","startHours":25.167349139925488,"endHours":26.167349139925488,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:10","end":"03:10","startHours":26.167349139925488,"endHours":27.167349139925488,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:10","end":"04:10","startHours":27.167349139925488,"endHours":28.167349139925488,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:10","end":"05:10","startHours":28.167349139925488,"endHours":29.167349139925488,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Chatra","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":17.456236956975175,"eotMinutes":3.6766258240534686,"ayanamsa":22.1118}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","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":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Pañcamī · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"festivals":[{"id":"shankara-jayanti","name":"Ādi Śaṅkarācārya Jayantī","name_sanskrit":"आदि शङ्कराचार्य जयन्ती","tradition":"Smarta","associated_deity":"Ādi Śaṅkarācārya","significance":"Birth of Ādi Śaṅkara at Kāladī, Kerala; Advaita-pratiṣṭhāpaka.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":3}],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 May 10, 1875 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 10, 1875 CE for Ranchi, Jharkhand: Śukla Pañcamī, sūryodaya 05:10, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1875-05-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1875-05-10","sa":"https://sa.vidhyamitra.com/city/ranchi/1875-05-10","hi":"https://hi.vidhyamitra.com/city/ranchi/1875-05-10","x-default":"https://vidhyamitra.com/city/ranchi/1875-05-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:23:36.122Z","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":"2026-06-02T16:23:36.122Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:23:36.122Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}