{"id":"vidhyamitra:city-day:pushkar:2045-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/pushkar/2045-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-13","date_display":"July 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468174.770833,"kali_year":5147,"ahargana":1879709.2708,"sun":{"sidereal_longitude":86.0734,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":66.5384,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.465,"elapsed_within_tithi_degrees":4.465},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.5384,"elapsed_within_degrees":13.2051},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.6119},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468174.770833,"ahargana":1879709.2708,"kali_year":5147,"ayanamsa_lahiri":24.489,"grahas":{"sun":{"sidereal_longitude":86.59683100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":67.01573099999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":3.7907},"mars":{"sidereal_longitude":67.76613099999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.56253100000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":317.7124309999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":115.92013099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":220.30843100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.957,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.957,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468174.770833,"kali_year":5147,"ahargana":1879709.2708,"sun":{"sidereal_longitude":86.0734,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":66.5384,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.465,"elapsed_within_tithi_degrees":4.465},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.5384,"elapsed_within_degrees":13.2051},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.6119},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.791,"elongation":19.535},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.791,"opposition_distance":160.465}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"pushkar","name":"Puṣkar","lat":26.49,"lon":74.55,"tz_offset_hours":5.5,"state":"Rajasthan","country":"IN","tier":"tirtha"},"sunriseLocal":"05:47","sunsetLocal":"19:27","solarNoonLocal":"12:37","dayLengthHours":13.668374678541767,"dayLengthDisplay":"13 Hours 40 Mins 06 Secs","nightLengthDisplay":"10 Hours 19 Mins 54 Secs","moonriseLocal":"04:26","moonsetLocal":"18:12","rahuKala":{"name":"Rāhu Kāla","start":"14:20","end":"16:02","startHours":14.327903982253734,"endHours":16.036450817071454,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:47","end":"07:30","startHours":5.78516980816513,"endHours":7.493716642982851,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:12","end":"10:55","startHours":9.202263477800571,"endHours":10.910810312618292,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:26","startHours":8.974457233158208,"endHours":9.430069722442935,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:43","startHours":6.354685419771037,"endHours":6.719175411198818,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"13:04","startHours":12.163744658151288,"endHours":13.074969636720738,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:52","startHours":3.962719851026228,"endHours":4.873944829595679,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:47","startHours":4.6461385849533166,"endHours":5.78516980816513,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:54","end":"15:49","startHours":14.897419593859642,"endHours":15.808644572429094,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:15","end":"19:39","startHours":19.253544486706897,"endHours":19.653544486706895,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:27","end":"20:01","startHours":19.453544486706896,"endHours":20.023060098312804,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:12","end":"20:57","startHours":19.203544486706896,"endHours":20.953544486706896,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"01:04","startHours":24.163744658151288,"endHours":25.074969636720738,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:47","end":"07:30","startHours":5.78516980816513,"endHours":7.493716642982851,"quality":"auspicious"},{"name":"Roga","start":"07:30","end":"09:12","startHours":7.493716642982851,"endHours":9.202263477800571,"quality":"inauspicious"},{"name":"Udveg","start":"09:12","end":"10:55","startHours":9.202263477800571,"endHours":10.910810312618292,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:37","startHours":10.910810312618292,"endHours":12.619357147436013,"quality":"neutral"},{"name":"Labha","start":"12:37","end":"14:20","startHours":12.619357147436013,"endHours":14.327903982253734,"quality":"auspicious"},{"name":"Amṛta","start":"14:20","end":"16:02","startHours":14.327903982253734,"endHours":16.036450817071454,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:45","startHours":16.036450817071454,"endHours":17.744997651889175,"quality":"inauspicious"},{"name":"Śubha","start":"17:45","end":"19:27","startHours":17.744997651889175,"endHours":19.453544486706896,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:27","end":"20:45","startHours":19.453544486706896,"endHours":20.744997651889175,"quality":"auspicious"},{"name":"Kāla","start":"20:45","end":"22:02","startHours":20.744997651889175,"endHours":22.036450817071454,"quality":"inauspicious"},{"name":"Śubha","start":"22:02","end":"23:20","startHours":22.036450817071454,"endHours":23.327903982253734,"quality":"auspicious"},{"name":"Roga","start":"23:20","end":"00:37","startHours":23.327903982253734,"endHours":24.619357147436013,"quality":"inauspicious"},{"name":"Udveg","start":"00:37","end":"01:55","startHours":24.619357147436013,"endHours":25.910810312618292,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:12","startHours":25.910810312618292,"endHours":27.20226347780057,"quality":"neutral"},{"name":"Labha","start":"03:12","end":"04:30","startHours":27.20226347780057,"endHours":28.49371664298285,"quality":"auspicious"},{"name":"Amṛta","start":"04:30","end":"05:47","startHours":28.49371664298285,"endHours":29.78516980816513,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.78516980816513,"endHours":6.78516980816513,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.78516980816513,"endHours":7.78516980816513,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.78516980816513,"endHours":8.78516980816513,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.78516980816513,"endHours":9.78516980816513,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.78516980816513,"endHours":10.78516980816513,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.78516980816513,"endHours":11.78516980816513,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.78516980816513,"endHours":12.78516980816513,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.78516980816513,"endHours":13.78516980816513,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.78516980816513,"endHours":14.78516980816513,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.78516980816513,"endHours":15.78516980816513,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.78516980816513,"endHours":16.78516980816513,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.78516980816513,"endHours":17.78516980816513,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.78516980816513,"endHours":18.78516980816513,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.78516980816513,"endHours":19.78516980816513,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.78516980816513,"endHours":20.78516980816513,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.78516980816513,"endHours":21.78516980816513,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.78516980816513,"endHours":22.78516980816513,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.78516980816513,"endHours":23.78516980816513,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.78516980816513,"endHours":24.78516980816513,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.78516980816513,"endHours":25.78516980816513,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.78516980816513,"endHours":26.78516980816513,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.78516980816513,"endHours":27.78516980816513,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.78516980816513,"endHours":28.78516980816513,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.78516980816513,"endHours":29.78516980816513,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.783553506401002,"eotMinutes":-5.361428846160681,"ayanamsa":24.489}},"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 Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"pushkar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 13, 2045 CE · Puṣkar · Vidhyamitra","description":"July 13, 2045 CE for Puṣkar: Kṛṣṇa Caturdaśī, sūryodaya 05:47, sūryāsta 19:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/pushkar/2045-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/pushkar/2045-07-13","sa":"https://sa.vidhyamitra.com/city/pushkar/2045-07-13","hi":"https://hi.vidhyamitra.com/city/pushkar/2045-07-13","x-default":"https://vidhyamitra.com/city/pushkar/2045-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T05:24:32.036Z","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":"2026-05-16T05:24:32.036Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T05:24:32.036Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}