{"id":"vidhyamitra:city-day:phoenix:1850-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/1850-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1850-01-30","date_display":"January 30, 1850 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":1850,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396787.770833,"kali_year":4951,"ahargana":1808322.2708,"sun":{"sidereal_longitude":288.4677,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":135.5023,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.0346,"elapsed_within_tithi_degrees":3.0346},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.5023,"elapsed_within_degrees":2.169},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.97},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1850,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2396787.770833,"ahargana":1808322.2708,"kali_year":4951,"ayanamsa_lahiri":21.7587,"grahas":{"sun":{"sidereal_longitude":288.101139,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":135.86843899999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":0.7124},"mars":{"sidereal_longitude":58.51523900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":305.2769390000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":152.34393899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":282.420439,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":343.902139,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":126.3838,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":306.3838,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":1850,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2396787.770833,"kali_year":4951,"ahargana":1808322.2708,"sun":{"sidereal_longitude":288.4677,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":135.5023,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":207.0346,"elapsed_within_tithi_degrees":3.0346},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":135.5023,"elapsed_within_degrees":2.169},"yoga":{"number":5,"name":"Śobhana","sum_longitude":63.97},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.712,"elongation":152.965},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.712,"opposition_distance":27.035}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-1.498,"opposition_distance":0.609},{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":0.517,"elongation":2.618}]},"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"07:26","sunsetLocal":"17:57","solarNoonLocal":"12:42","dayLengthHours":10.512410209228683,"dayLengthDisplay":"10 Hours 30 Mins 45 Secs","nightLengthDisplay":"13 Hours 29 Mins 15 Secs","moonriseLocal":"20:07","moonsetLocal":"08:59","rahuKala":{"name":"Rāhu Kāla","start":"12:42","end":"14:00","startHours":12.694219099596076,"endHours":14.00827037574966,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:45","end":"10:04","startHours":8.752065271135319,"endHours":10.066116547288903,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:23","end":"12:42","startHours":11.38016782344249,"endHours":12.694219099596076,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:53","end":"10:14","startHours":9.890909710468426,"endHours":10.241323384109382,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:53","end":"08:09","startHours":7.876031087032929,"endHours":8.156362025945693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:21","end":"13:03","startHours":12.34380542595512,"endHours":13.044632773237032,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:02","end":"06:44","startHours":6.036359300417908,"endHours":6.737186647699821,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:34","end":"07:26","startHours":6.561979810879343,"endHours":7.438013994981733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:09","startHours":14.446287467800854,"endHours":15.147114815082766,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.750424204210418,"endHours":18.150424204210417,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:23","startHours":17.950424204210417,"endHours":18.38844129626161,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.700424204210417,"endHours":19.450424204210417,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:21","end":"01:03","startHours":24.343805425955118,"endHours":25.044632773237034,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:26","end":"08:45","startHours":7.438013994981733,"endHours":8.752065271135319,"quality":"auspicious"},{"name":"Amṛta","start":"08:45","end":"10:04","startHours":8.752065271135319,"endHours":10.066116547288903,"quality":"auspicious"},{"name":"Kāla","start":"10:04","end":"11:23","startHours":10.066116547288903,"endHours":11.38016782344249,"quality":"inauspicious"},{"name":"Śubha","start":"11:23","end":"12:42","startHours":11.38016782344249,"endHours":12.694219099596076,"quality":"auspicious"},{"name":"Roga","start":"12:42","end":"14:00","startHours":12.694219099596076,"endHours":14.00827037574966,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:19","startHours":14.00827037574966,"endHours":15.322321651903245,"quality":"inauspicious"},{"name":"Chala","start":"15:19","end":"16:38","startHours":15.322321651903245,"endHours":16.636372928056833,"quality":"neutral"},{"name":"Labha","start":"16:38","end":"17:57","startHours":16.636372928056833,"endHours":17.950424204210417,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:57","end":"19:38","startHours":17.950424204210417,"endHours":19.636372928056833,"quality":"inauspicious"},{"name":"Chala","start":"19:38","end":"21:19","startHours":19.636372928056833,"endHours":21.322321651903245,"quality":"neutral"},{"name":"Labha","start":"21:19","end":"23:00","startHours":21.322321651903245,"endHours":23.00827037574966,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:42","startHours":23.00827037574966,"endHours":24.694219099596076,"quality":"auspicious"},{"name":"Kāla","start":"00:42","end":"02:23","startHours":24.694219099596076,"endHours":26.38016782344249,"quality":"inauspicious"},{"name":"Śubha","start":"02:23","end":"04:04","startHours":26.38016782344249,"endHours":28.066116547288907,"quality":"auspicious"},{"name":"Roga","start":"04:04","end":"05:45","startHours":28.066116547288907,"endHours":29.75206527113532,"quality":"inauspicious"},{"name":"Udveg","start":"05:45","end":"07:26","startHours":29.75206527113532,"endHours":31.438013994981734,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:26","end":"08:26","startHours":7.438013994981733,"endHours":8.438013994981734,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:26","end":"09:26","startHours":8.438013994981734,"endHours":9.438013994981734,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:26","end":"10:26","startHours":9.438013994981734,"endHours":10.438013994981734,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:26","end":"11:26","startHours":10.438013994981734,"endHours":11.438013994981734,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:26","end":"12:26","startHours":11.438013994981734,"endHours":12.438013994981734,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:26","end":"13:26","startHours":12.438013994981734,"endHours":13.438013994981734,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:26","end":"14:26","startHours":13.438013994981734,"endHours":14.438013994981734,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:26","end":"15:26","startHours":14.438013994981734,"endHours":15.438013994981734,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:26","end":"16:26","startHours":15.438013994981734,"endHours":16.438013994981734,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:26","end":"17:26","startHours":16.438013994981734,"endHours":17.438013994981734,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:26","end":"18:26","startHours":17.438013994981734,"endHours":18.438013994981734,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:26","end":"19:26","startHours":18.438013994981734,"endHours":19.438013994981734,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:26","end":"20:26","startHours":19.438013994981734,"endHours":20.438013994981734,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:26","end":"21:26","startHours":20.438013994981734,"endHours":21.438013994981734,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:26","end":"22:26","startHours":21.438013994981734,"endHours":22.438013994981734,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:26","end":"23:26","startHours":22.438013994981734,"endHours":23.438013994981734,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:26","end":"00:26","startHours":23.438013994981734,"endHours":24.438013994981734,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:26","end":"01:26","startHours":24.438013994981734,"endHours":25.438013994981734,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:26","end":"02:26","startHours":25.438013994981734,"endHours":26.438013994981734,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:26","end":"03:26","startHours":26.438013994981734,"endHours":27.438013994981734,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:26","end":"04:26","startHours":27.438013994981734,"endHours":28.438013994981734,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:26","end":"05:26","startHours":28.438013994981734,"endHours":29.438013994981734,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:26","end":"06:26","startHours":29.438013994981734,"endHours":30.438013994981734,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:26","end":"07:26","startHours":30.438013994981734,"endHours":31.438013994981734,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.776528630345105,"eotMinutes":-13.357145975764517,"ayanamsa":21.7587}},"calendars":{"vikram_samvat":1907,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1772,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1257,"malayalam_era":1026,"nanakshahi_year":381,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Tṛtīyā · Vikram 1907 Rudhirodgāri · Śaka 1772 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"phoenix"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 30, 1850 CE · Phoenix, USA · Vidhyamitra","description":"January 30, 1850 CE for Phoenix, USA: Kṛṣṇa Tṛtīyā, sūryodaya 07:26, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/1850-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/1850-01-30","sa":"https://sa.vidhyamitra.com/city/phoenix/1850-01-30","hi":"https://hi.vidhyamitra.com/city/phoenix/1850-01-30","x-default":"https://vidhyamitra.com/city/phoenix/1850-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:55:28.822Z","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":"2026-06-02T18:55:28.822Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:55:28.822Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}