{"id":"vidhyamitra:city-day:perth:2045-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2045-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-04-29","date_display":"April 29, 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":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468099.770833,"kali_year":5147,"ahargana":1879634.2708,"sun":{"sidereal_longitude":14.6268,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":168.3086,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6819,"elapsed_within_tithi_degrees":9.6819},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":168.3086,"elapsed_within_degrees":8.3086},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.9354},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2045,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468099.770833,"ahargana":1879634.2708,"kali_year":5147,"ayanamsa_lahiri":24.4862,"grahas":{"sun":{"sidereal_longitude":14.660796000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":166.82739600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":-2.9135},"mars":{"sidereal_longitude":14.804996000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":349.561996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":312.182996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":24.55759599999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":225.177096,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":307.9309,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":127.9309,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468099.770833,"kali_year":5147,"ahargana":1879634.2708,"sun":{"sidereal_longitude":14.6268,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":168.3086,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.6819,"elapsed_within_tithi_degrees":9.6819},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":168.3086,"elapsed_within_degrees":8.3086},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.9354},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.913,"elongation":153.682},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.913,"opposition_distance":26.318}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"06:47","sunsetLocal":"17:41","solarNoonLocal":"12:14","dayLengthHours":10.895455931780216,"dayLengthDisplay":"10 Hours 53 Mins 44 Secs","nightLengthDisplay":"13 Hours 06 Mins 16 Secs","moonriseLocal":"16:09","moonsetLocal":"04:37","rahuKala":{"name":"Rāhu Kāla","start":"09:30","end":"10:52","startHours":9.508043622653762,"endHours":10.86997561412629,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:36","end":"14:57","startHours":13.593839597071344,"endHours":14.955771588543868,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:47","end":"08:09","startHours":6.784179639708708,"endHours":8.146111631181235,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:41","startHours":9.326452690457426,"endHours":9.689634554850098,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:14","end":"07:32","startHours":7.238156970199551,"endHours":7.52870246171369,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:36","startHours":11.868725741206141,"endHours":12.595089469991489,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:20","end":"06:03","startHours":5.331452182138013,"endHours":6.0578159109233605,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:53","end":"06:47","startHours":5.8762249787270235,"endHours":6.784179639708708,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:46","startHours":14.047816927562184,"endHours":14.774180656347532,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.479635571488924,"endHours":17.879635571488922,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.679635571488923,"endHours":18.133612901979767,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.429635571488923,"endHours":19.179635571488923,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:36","startHours":23.86872574120614,"endHours":24.595089469991485,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:47","end":"08:09","startHours":6.784179639708708,"endHours":8.146111631181235,"quality":"inauspicious"},{"name":"Śubha","start":"08:09","end":"09:30","startHours":8.146111631181235,"endHours":9.508043622653762,"quality":"auspicious"},{"name":"Roga","start":"09:30","end":"10:52","startHours":9.508043622653762,"endHours":10.86997561412629,"quality":"inauspicious"},{"name":"Udveg","start":"10:52","end":"12:14","startHours":10.86997561412629,"endHours":12.231907605598817,"quality":"inauspicious"},{"name":"Chala","start":"12:14","end":"13:36","startHours":12.231907605598817,"endHours":13.593839597071344,"quality":"neutral"},{"name":"Labha","start":"13:36","end":"14:57","startHours":13.593839597071344,"endHours":14.955771588543868,"quality":"auspicious"},{"name":"Amṛta","start":"14:57","end":"16:19","startHours":14.955771588543868,"endHours":16.317703580016396,"quality":"auspicious"},{"name":"Kāla","start":"16:19","end":"17:41","startHours":16.317703580016396,"endHours":17.679635571488923,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:41","end":"19:19","startHours":17.679635571488923,"endHours":19.317703580016396,"quality":"auspicious"},{"name":"Amṛta","start":"19:19","end":"20:57","startHours":19.317703580016396,"endHours":20.95577158854387,"quality":"auspicious"},{"name":"Kāla","start":"20:57","end":"22:36","startHours":20.95577158854387,"endHours":22.593839597071344,"quality":"inauspicious"},{"name":"Śubha","start":"22:36","end":"00:14","startHours":22.593839597071344,"endHours":24.231907605598813,"quality":"auspicious"},{"name":"Roga","start":"00:14","end":"01:52","startHours":24.231907605598813,"endHours":25.86997561412629,"quality":"inauspicious"},{"name":"Udveg","start":"01:52","end":"03:30","startHours":25.86997561412629,"endHours":27.508043622653762,"quality":"inauspicious"},{"name":"Chala","start":"03:30","end":"05:09","startHours":27.508043622653762,"endHours":29.146111631181235,"quality":"neutral"},{"name":"Labha","start":"05:09","end":"06:47","startHours":29.146111631181235,"endHours":30.784179639708707,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:47","end":"07:47","startHours":6.784179639708708,"endHours":7.784179639708708,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:47","end":"08:47","startHours":7.784179639708708,"endHours":8.784179639708707,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:47","end":"09:47","startHours":8.784179639708707,"endHours":9.784179639708707,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:47","end":"10:47","startHours":9.784179639708707,"endHours":10.784179639708707,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:47","end":"11:47","startHours":10.784179639708707,"endHours":11.784179639708707,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:47","end":"12:47","startHours":11.784179639708707,"endHours":12.784179639708707,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:47","end":"13:47","startHours":12.784179639708707,"endHours":13.784179639708707,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:47","end":"14:47","startHours":13.784179639708707,"endHours":14.784179639708707,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:47","end":"15:47","startHours":14.784179639708707,"endHours":15.784179639708707,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:47","end":"16:47","startHours":15.784179639708707,"endHours":16.784179639708707,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:47","end":"17:47","startHours":16.784179639708707,"endHours":17.784179639708707,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:47","end":"18:47","startHours":17.784179639708707,"endHours":18.784179639708707,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:47","end":"19:47","startHours":18.784179639708707,"endHours":19.784179639708707,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:47","end":"20:47","startHours":19.784179639708707,"endHours":20.784179639708707,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:47","end":"21:47","startHours":20.784179639708707,"endHours":21.784179639708707,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:47","end":"22:47","startHours":21.784179639708707,"endHours":22.784179639708707,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:47","end":"23:47","startHours":22.784179639708707,"endHours":23.784179639708707,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:47","end":"00:47","startHours":23.784179639708707,"endHours":24.784179639708707,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:47","end":"01:47","startHours":24.784179639708707,"endHours":25.784179639708707,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:47","end":"02:47","startHours":25.784179639708707,"endHours":26.784179639708707,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:47","end":"03:47","startHours":26.784179639708707,"endHours":27.784179639708707,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:47","end":"04:47","startHours":27.784179639708707,"endHours":28.784179639708707,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:47","end":"05:47","startHours":28.784179639708707,"endHours":29.784179639708707,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:47","end":"06:47","startHours":29.784179639708707,"endHours":30.784179639708707,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.542219214435564,"eotMinutes":2.643543664071059,"ayanamsa":24.4862}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 29, 2045 CE · Perth, Australia · Vidhyamitra","description":"April 29, 2045 CE for Perth, Australia: Śukla Trayodaśī, sūryodaya 06:47, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2045-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2045-04-29","sa":"https://sa.vidhyamitra.com/city/perth/2045-04-29","hi":"https://hi.vidhyamitra.com/city/perth/2045-04-29","x-default":"https://vidhyamitra.com/city/perth/2045-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T12:20:16.098Z","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":"2026-06-02T12:20:16.098Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T12:20:16.098Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}