{"id":"vidhyamitra:city-day:ranchi:2013-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2013-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-05-04","date_display":"May 4, 2013 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":2013,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456416.770833,"kali_year":5115,"ahargana":1867951.2708,"sun":{"sidereal_longitude":19.725,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":307.5998,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.8748,"elapsed_within_tithi_degrees":11.8748},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.5998,"elapsed_within_degrees":0.9331},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.3248},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2013,"month":5,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456416.770833,"ahargana":1867951.2708,"kali_year":5115,"ayanamsa_lahiri":24.0393,"grahas":{"sun":{"sidereal_longitude":19.710373000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":309.565573,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":4.4224},"mars":{"sidereal_longitude":15.871773000000019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":10.381672999999978,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":53.62317300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":28.933272999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":193.501573,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":206.9525,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.9525,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2013,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456416.770833,"kali_year":5115,"ahargana":1867951.2708,"sun":{"sidereal_longitude":19.725,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":307.5998,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.8748,"elapsed_within_tithi_degrees":11.8748},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.5998,"elapsed_within_degrees":0.9331},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.3248},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.422,"elongation":72.125},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.422,"opposition_distance":107.875}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-1.09,"opposition_distance":1.352},{"offset_days":6,"type":"solar","occurs":true,"moon_latitude":-0.055,"elongation":1.837}]},"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":13.072512814454306,"dayLengthDisplay":"13 Hours 04 Mins 21 Secs","nightLengthDisplay":"10 Hours 55 Mins 39 Secs","moonriseLocal":"01:20","moonsetLocal":"12:50","rahuKala":{"name":"Rāhu Kāla","start":"08:29","end":"10:07","startHours":8.490257502751756,"endHours":10.124321604558546,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:24","end":"15:02","startHours":13.392449808172124,"endHours":15.02651390997891,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:13","end":"06:51","startHours":5.222129299138181,"endHours":6.856193400944969,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:16","end":"08:42","startHours":8.272382289177518,"endHours":8.708132716325995,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:46","end":"06:07","startHours":5.766817333073777,"endHours":6.115417674792559,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:12","startHours":11.322635279216858,"endHours":12.194136133513812,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:21","startHours":3.479127590544273,"endHours":4.350628444841227,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:13","startHours":4.132753231266989,"endHours":5.222129299138181,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:49","startHours":13.93713784210772,"endHours":14.808638696404675,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.09464211359249,"endHours":18.494642113592487,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:50","startHours":18.294642113592488,"endHours":18.839330147528084,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.044642113592488,"endHours":19.794642113592488,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:12","startHours":23.322635279216858,"endHours":24.194136133513812,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:13","end":"06:51","startHours":5.222129299138181,"endHours":6.856193400944969,"quality":"inauspicious"},{"name":"Śubha","start":"06:51","end":"08:29","startHours":6.856193400944969,"endHours":8.490257502751756,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"10:07","startHours":8.490257502751756,"endHours":10.124321604558546,"quality":"inauspicious"},{"name":"Udveg","start":"10:07","end":"11:46","startHours":10.124321604558546,"endHours":11.758385706365335,"quality":"inauspicious"},{"name":"Chala","start":"11:46","end":"13:24","startHours":11.758385706365335,"endHours":13.392449808172124,"quality":"neutral"},{"name":"Labha","start":"13:24","end":"15:02","startHours":13.392449808172124,"endHours":15.02651390997891,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:40","startHours":15.02651390997891,"endHours":16.6605780117857,"quality":"auspicious"},{"name":"Kāla","start":"16:40","end":"18:18","startHours":16.6605780117857,"endHours":18.294642113592488,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:18","end":"19:40","startHours":18.294642113592488,"endHours":19.6605780117857,"quality":"auspicious"},{"name":"Amṛta","start":"19:40","end":"21:02","startHours":19.6605780117857,"endHours":21.02651390997891,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:24","startHours":21.02651390997891,"endHours":22.392449808172124,"quality":"inauspicious"},{"name":"Śubha","start":"22:24","end":"23:46","startHours":22.392449808172124,"endHours":23.758385706365335,"quality":"auspicious"},{"name":"Roga","start":"23:46","end":"01:07","startHours":23.758385706365335,"endHours":25.124321604558546,"quality":"inauspicious"},{"name":"Udveg","start":"01:07","end":"02:29","startHours":25.124321604558546,"endHours":26.49025750275176,"quality":"inauspicious"},{"name":"Chala","start":"02:29","end":"03:51","startHours":26.49025750275176,"endHours":27.85619340094497,"quality":"neutral"},{"name":"Labha","start":"03:51","end":"05:13","startHours":27.85619340094497,"endHours":29.22212929913818,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:13","end":"06:13","startHours":5.222129299138181,"endHours":6.222129299138181,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:13","end":"07:13","startHours":6.222129299138181,"endHours":7.222129299138181,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:13","end":"08:13","startHours":7.222129299138181,"endHours":8.222129299138182,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:13","end":"09:13","startHours":8.222129299138182,"endHours":9.222129299138182,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:13","end":"10:13","startHours":9.222129299138182,"endHours":10.222129299138182,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:13","end":"11:13","startHours":10.222129299138182,"endHours":11.222129299138182,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:13","end":"12:13","startHours":11.222129299138182,"endHours":12.222129299138182,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:13","end":"13:13","startHours":12.222129299138182,"endHours":13.222129299138182,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:13","end":"14:13","startHours":13.222129299138182,"endHours":14.222129299138182,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:13","end":"15:13","startHours":14.222129299138182,"endHours":15.222129299138182,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:13","end":"16:13","startHours":15.222129299138182,"endHours":16.22212929913818,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:13","end":"17:13","startHours":16.22212929913818,"endHours":17.22212929913818,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:13","end":"18:13","startHours":17.22212929913818,"endHours":18.22212929913818,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:13","end":"19:13","startHours":18.22212929913818,"endHours":19.22212929913818,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:13","end":"20:13","startHours":19.22212929913818,"endHours":20.22212929913818,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:13","end":"21:13","startHours":20.22212929913818,"endHours":21.22212929913818,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:13","end":"22:13","startHours":21.22212929913818,"endHours":22.22212929913818,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:13","end":"23:13","startHours":22.22212929913818,"endHours":23.22212929913818,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:13","end":"00:13","startHours":23.22212929913818,"endHours":24.22212929913818,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:13","end":"01:13","startHours":24.22212929913818,"endHours":25.22212929913818,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:13","end":"02:13","startHours":25.22212929913818,"endHours":26.22212929913818,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:13","end":"03:13","startHours":26.22212929913818,"endHours":27.22212929913818,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:13","end":"04:13","startHours":27.22212929913818,"endHours":28.22212929913818,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:13","end":"05:13","startHours":28.22212929913818,"endHours":29.22212929913818,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":15.964132713555035,"eotMinutes":3.258457618079846,"ayanamsa":24.0393}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Navamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2013 CE · Ranchi, Jharkhand · Vidhyamitra","description":"May 4, 2013 CE for Ranchi, Jharkhand: Kṛṣṇa Navamī, sūryodaya 05:13, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2013-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2013-05-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2013-05-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2013-05-04","x-default":"https://vidhyamitra.com/city/ranchi/2013-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T11:56:13.355Z","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":"2026-05-15T11:56:13.355Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T11:56:13.355Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}