{"id":"vidhyamitra:city-day:phoenix:2121-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2121-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-31","date_display":"July 31, 2121 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":2121,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495950.770833,"kali_year":5223,"ahargana":1907485.2708,"sun":{"sidereal_longitude":101.5614,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":293.6084,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.047,"elapsed_within_tithi_degrees":0.047},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":293.6084,"elapsed_within_degrees":0.275},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.1697},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":2121,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495950.770833,"ahargana":1907485.2708,"kali_year":5223,"ayanamsa_lahiri":25.5514,"grahas":{"sun":{"sidereal_longitude":102.37398300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":296.1431829999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":1.6374},"mars":{"sidereal_longitude":157.80198300000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":119.31398300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":103.051583,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":68.162283,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":75.07478300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":272.2509,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.2509,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2121,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495950.770833,"kali_year":5223,"ahargana":1907485.2708,"sun":{"sidereal_longitude":101.5614,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":293.6084,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":192.047,"elapsed_within_tithi_degrees":0.047},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":293.6084,"elapsed_within_degrees":0.275},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.1697},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.637,"elongation":167.953},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.637,"opposition_distance":12.047}},"eclipse_window_40days":[{"offset_days":-1,"type":"lunar","occurs":true,"moon_latitude":0.554,"opposition_distance":1.232}]},"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":"05:40","sunsetLocal":"19:29","solarNoonLocal":"12:34","dayLengthHours":13.824967522312122,"dayLengthDisplay":"13 Hours 49 Mins 30 Secs","nightLengthDisplay":"10 Hours 10 Mins 30 Secs","moonriseLocal":"20:05","moonsetLocal":"06:54","rahuKala":{"name":"Rāhu Kāla","start":"14:18","end":"16:02","startHours":14.30091051549486,"endHours":16.029031455783876,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:40","end":"07:23","startHours":5.660305814049784,"endHours":7.388426754338799,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:51","startHours":9.116547694627815,"endHours":10.844668634916829,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:21","startHours":8.886131569255946,"endHours":9.346963819999683,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:36","startHours":6.236346127479456,"endHours":6.605011928074446,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"13:02","startHours":12.111957324462109,"endHours":13.033621825949583,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:44","startHours":3.8169768110748343,"endHours":4.73864131256231,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:40","startHours":4.50822518719044,"endHours":5.660305814049784,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:53","end":"15:48","startHours":14.876950828924532,"endHours":15.798615330412007,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:17","end":"19:41","startHours":19.285273336361907,"endHours":19.685273336361906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:29","end":"20:04","startHours":19.485273336361907,"endHours":20.06131364979158,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:14","end":"20:59","startHours":19.235273336361907,"endHours":20.985273336361907,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"01:02","startHours":24.111957324462107,"endHours":25.033621825949584,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:40","end":"07:23","startHours":5.660305814049784,"endHours":7.388426754338799,"quality":"auspicious"},{"name":"Roga","start":"07:23","end":"09:07","startHours":7.388426754338799,"endHours":9.116547694627815,"quality":"inauspicious"},{"name":"Udveg","start":"09:07","end":"10:51","startHours":9.116547694627815,"endHours":10.844668634916829,"quality":"inauspicious"},{"name":"Chala","start":"10:51","end":"12:34","startHours":10.844668634916829,"endHours":12.572789575205846,"quality":"neutral"},{"name":"Labha","start":"12:34","end":"14:18","startHours":12.572789575205846,"endHours":14.30091051549486,"quality":"auspicious"},{"name":"Amṛta","start":"14:18","end":"16:02","startHours":14.30091051549486,"endHours":16.029031455783876,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:45","startHours":16.029031455783876,"endHours":17.75715239607289,"quality":"inauspicious"},{"name":"Śubha","start":"17:45","end":"19:29","startHours":17.75715239607289,"endHours":19.485273336361907,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:29","end":"20:45","startHours":19.485273336361907,"endHours":20.75715239607289,"quality":"auspicious"},{"name":"Kāla","start":"20:45","end":"22:02","startHours":20.75715239607289,"endHours":22.029031455783876,"quality":"inauspicious"},{"name":"Śubha","start":"22:02","end":"23:18","startHours":22.029031455783876,"endHours":23.300910515494863,"quality":"auspicious"},{"name":"Roga","start":"23:18","end":"00:34","startHours":23.300910515494863,"endHours":24.572789575205846,"quality":"inauspicious"},{"name":"Udveg","start":"00:34","end":"01:51","startHours":24.572789575205846,"endHours":25.84466863491683,"quality":"inauspicious"},{"name":"Chala","start":"01:51","end":"03:07","startHours":25.84466863491683,"endHours":27.116547694627815,"quality":"neutral"},{"name":"Labha","start":"03:07","end":"04:23","startHours":27.116547694627815,"endHours":28.388426754338802,"quality":"auspicious"},{"name":"Amṛta","start":"04:23","end":"05:40","startHours":28.388426754338802,"endHours":29.660305814049785,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.660305814049784,"endHours":6.660305814049784,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.660305814049784,"endHours":7.660305814049784,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.660305814049784,"endHours":8.660305814049785,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.660305814049785,"endHours":9.660305814049785,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.660305814049785,"endHours":10.660305814049785,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.660305814049785,"endHours":11.660305814049785,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.660305814049785,"endHours":12.660305814049785,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.660305814049785,"endHours":13.660305814049785,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.660305814049785,"endHours":14.660305814049785,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.660305814049785,"endHours":15.660305814049785,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.660305814049785,"endHours":16.660305814049785,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.660305814049785,"endHours":17.660305814049785,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.660305814049785,"endHours":18.660305814049785,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.660305814049785,"endHours":19.660305814049785,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.660305814049785,"endHours":20.660305814049785,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.660305814049785,"endHours":21.660305814049785,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.660305814049785,"endHours":22.660305814049785,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.660305814049785,"endHours":23.660305814049785,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.660305814049785,"endHours":24.660305814049785,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.660305814049785,"endHours":25.660305814049785,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.660305814049785,"endHours":26.660305814049785,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.660305814049785,"endHours":27.660305814049785,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.660305814049785,"endHours":28.660305814049785,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.660305814049785,"endHours":29.660305814049785,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.284529311437524,"eotMinutes":-6.071374512350812,"ayanamsa":25.5514}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvitīyā · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[],"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":"phoenix"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 31, 2121 CE · Phoenix, USA · Vidhyamitra","description":"July 31, 2121 CE for Phoenix, USA: Kṛṣṇa Dvitīyā, sūryodaya 05:40, sūryāsta 19:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2121-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2121-07-31","sa":"https://sa.vidhyamitra.com/city/phoenix/2121-07-31","hi":"https://hi.vidhyamitra.com/city/phoenix/2121-07-31","x-default":"https://vidhyamitra.com/city/phoenix/2121-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:38:28.620Z","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":"2026-06-01T01:38:28.620Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:38:28.620Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}