{"id":"vidhyamitra:city-day:ranchi:2045-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-16","date_display":"July 16, 2045 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":2045,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468177.770833,"kali_year":5147,"ahargana":1879712.2708,"sun":{"sidereal_longitude":88.9147,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":109.5438,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.6291,"elapsed_within_tithi_degrees":8.6291},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.5438,"elapsed_within_degrees":2.8771},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.4585},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2045,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468177.770833,"ahargana":1879712.2708,"kali_year":5147,"ayanamsa_lahiri":24.4891,"grahas":{"sun":{"sidereal_longitude":89.458416,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":112.11561599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":1.1069},"mars":{"sidereal_longitude":69.78781600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.22621600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.58261600000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":119.51901600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.19341600000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.7981,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.7981,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468177.770833,"kali_year":5147,"ahargana":1879712.2708,"sun":{"sidereal_longitude":88.9147,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":109.5438,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":20.6291,"elapsed_within_tithi_degrees":8.6291},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":109.5438,"elapsed_within_degrees":2.8771},"yoga":{"number":15,"name":"Vajra","sum_longitude":198.4585},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.107,"elongation":20.629},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.107,"opposition_distance":159.371}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:12","sunsetLocal":"18:37","solarNoonLocal":"11:54","dayLengthHours":13.424540784567144,"dayLengthDisplay":"13 Hours 25 Mins 28 Secs","nightLengthDisplay":"10 Hours 34 Mins 32 Secs","moonriseLocal":"06:54","moonsetLocal":"19:56","rahuKala":{"name":"Rāhu Kāla","start":"16:56","end":"18:37","startHours":16.941608471150627,"endHours":18.61967606922152,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:54","end":"13:35","startHours":11.907405676937948,"endHours":13.585473275008841,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:16","end":"16:56","startHours":15.263540873079734,"endHours":16.941608471150627,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:20","end":"08:47","startHours":8.327528134386709,"endHours":8.775012827205614,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:45","end":"06:07","startHours":5.754491150678006,"endHours":6.11247890493313,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.459920984119043,"endHours":12.354890369756854,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:18","startHours":3.405196513378756,"endHours":4.300165899016566,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:12","startHours":4.076423552607113,"endHours":5.195135284654375,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"15:02","startHours":14.14482914103247,"endHours":15.03979852667028,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.41967606922152,"endHours":18.81967606922152,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:11","startHours":18.61967606922152,"endHours":19.17903193524515,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.36967606922152,"endHours":20.11967606922152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.459920984119044,"endHours":24.354890369756852,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:12","end":"06:52","startHours":5.195135284654375,"endHours":6.873202882725268,"quality":"inauspicious"},{"name":"Chala","start":"06:52","end":"08:33","startHours":6.873202882725268,"endHours":8.55127048079616,"quality":"neutral"},{"name":"Labha","start":"08:33","end":"10:14","startHours":8.55127048079616,"endHours":10.229338078867055,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:54","startHours":10.229338078867055,"endHours":11.907405676937948,"quality":"auspicious"},{"name":"Kāla","start":"11:54","end":"13:35","startHours":11.907405676937948,"endHours":13.585473275008841,"quality":"inauspicious"},{"name":"Śubha","start":"13:35","end":"15:16","startHours":13.585473275008841,"endHours":15.263540873079734,"quality":"auspicious"},{"name":"Roga","start":"15:16","end":"16:56","startHours":15.263540873079734,"endHours":16.941608471150627,"quality":"inauspicious"},{"name":"Udveg","start":"16:56","end":"18:37","startHours":16.941608471150627,"endHours":18.61967606922152,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:37","end":"19:56","startHours":18.61967606922152,"endHours":19.941608471150627,"quality":"auspicious"},{"name":"Roga","start":"19:56","end":"21:16","startHours":19.941608471150627,"endHours":21.263540873079734,"quality":"inauspicious"},{"name":"Udveg","start":"21:16","end":"22:35","startHours":21.263540873079734,"endHours":22.58547327500884,"quality":"inauspicious"},{"name":"Chala","start":"22:35","end":"23:54","startHours":22.58547327500884,"endHours":23.907405676937948,"quality":"neutral"},{"name":"Labha","start":"23:54","end":"01:14","startHours":23.907405676937948,"endHours":25.229338078867055,"quality":"auspicious"},{"name":"Amṛta","start":"01:14","end":"02:33","startHours":25.229338078867055,"endHours":26.551270480796163,"quality":"auspicious"},{"name":"Kāla","start":"02:33","end":"03:52","startHours":26.551270480796163,"endHours":27.873202882725266,"quality":"inauspicious"},{"name":"Śubha","start":"03:52","end":"05:12","startHours":27.873202882725266,"endHours":29.195135284654377,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:12","end":"06:12","startHours":5.195135284654375,"endHours":6.195135284654375,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:12","end":"07:12","startHours":6.195135284654375,"endHours":7.195135284654375,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:12","end":"08:12","startHours":7.195135284654375,"endHours":8.195135284654375,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:12","end":"09:12","startHours":8.195135284654375,"endHours":9.195135284654375,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:12","end":"10:12","startHours":9.195135284654375,"endHours":10.195135284654375,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:12","end":"11:12","startHours":10.195135284654375,"endHours":11.195135284654375,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:12","end":"12:12","startHours":11.195135284654375,"endHours":12.195135284654375,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:12","end":"13:12","startHours":12.195135284654375,"endHours":13.195135284654375,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:12","end":"14:12","startHours":13.195135284654375,"endHours":14.195135284654375,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:12","end":"15:12","startHours":14.195135284654375,"endHours":15.195135284654375,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:12","end":"16:12","startHours":15.195135284654375,"endHours":16.195135284654377,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:12","end":"17:12","startHours":16.195135284654377,"endHours":17.195135284654377,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:12","end":"18:12","startHours":17.195135284654377,"endHours":18.195135284654377,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:12","end":"19:12","startHours":18.195135284654377,"endHours":19.195135284654377,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:12","end":"20:12","startHours":19.195135284654377,"endHours":20.195135284654377,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:12","end":"21:12","startHours":20.195135284654377,"endHours":21.195135284654377,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:12","end":"22:12","startHours":21.195135284654377,"endHours":22.195135284654377,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:12","end":"23:12","startHours":22.195135284654377,"endHours":23.195135284654377,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:12","end":"00:12","startHours":23.195135284654377,"endHours":24.195135284654377,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:12","end":"01:12","startHours":24.195135284654377,"endHours":25.195135284654377,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:12","end":"02:12","startHours":25.195135284654377,"endHours":26.195135284654377,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:12","end":"03:12","startHours":26.195135284654377,"endHours":27.195135284654377,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:12","end":"04:12","startHours":27.195135284654377,"endHours":28.195135284654377,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:12","end":"05:12","startHours":28.195135284654377,"endHours":29.195135284654377,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.314974358067598,"eotMinutes":-5.682740616276977,"ayanamsa":24.4891}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvitīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"ratha-yatra","name":"Ratha-Yātrā (Jagannātha Puri)","name_sanskrit":"रथ यात्रा","tradition":"Vaishnava","associated_deity":"Jagannātha (Krishna) + Balarāma + Subhadrā","significance":"Jagannātha's annual ratha-yātrā at Puri.","vrata":false,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 July 16, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"July 16, 2045 CE for Ranchi, Jharkhand: Śukla Dvitīyā, sūryodaya 05:12, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-07-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-07-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-07-16","x-default":"https://vidhyamitra.com/city/ranchi/2045-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:56:13.663Z","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":"2026-06-02T03:56:13.663Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:56:13.663Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}