{"id":"vidhyamitra:city-day:perth:2040-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2040-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-05-13","date_display":"May 13, 2040 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":2040,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466287.770833,"kali_year":5142,"ahargana":1877822.2708,"sun":{"sidereal_longitude":28.3929,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":52.4861,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.0932,"elapsed_within_tithi_degrees":0.0932},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.4861,"elapsed_within_degrees":12.4861},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.8791},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":2040,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466287.770833,"ahargana":1877822.2708,"kali_year":5142,"ayanamsa_lahiri":24.4169,"grahas":{"sun":{"sidereal_longitude":28.493227999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":49.89272799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false,"latitude":0.6681},"mars":{"sidereal_longitude":100.457628,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":41.97452800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":146.846228,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":23.094728000000032,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.57872799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":43.9394,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":223.9394,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466287.770833,"kali_year":5142,"ahargana":1877822.2708,"sun":{"sidereal_longitude":28.3929,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":52.4861,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":24.0932,"elapsed_within_tithi_degrees":0.0932},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.4861,"elapsed_within_degrees":12.4861},"yoga":{"number":7,"name":"Sukarma","sum_longitude":80.8791},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.668,"elongation":24.093},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.668,"opposition_distance":155.907}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":-1.324,"elongation":0.448}]},"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":"06:57","sunsetLocal":"17:29","solarNoonLocal":"12:13","dayLengthHours":10.535097983135714,"dayLengthDisplay":"10 Hours 32 Mins 06 Secs","nightLengthDisplay":"13 Hours 27 Mins 54 Secs","moonriseLocal":"08:35","moonsetLocal":"18:42","rahuKala":{"name":"Rāhu Kāla","start":"16:10","end":"17:29","startHours":16.16407109794995,"endHours":17.480958345841916,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:32","startHours":12.21340935427406,"endHours":13.530296602166022,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:10","startHours":14.847183850057988,"endHours":16.16407109794995,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.404049892104535,"endHours":9.755219824875725,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.384822778670189,"endHours":7.665758724887142,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:34","startHours":11.862239421502869,"endHours":12.56457928704525,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:15","startHours":5.54118063162144,"endHours":6.2435204971638205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:04","end":"06:57","startHours":6.067935530778225,"endHours":6.945860362706202,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.96925901813001,"endHours":14.671598883672392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.280958345841917,"endHours":17.680958345841916,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.480958345841916,"endHours":17.919920761805905,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.230958345841916,"endHours":18.980958345841916,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:34","startHours":23.86223942150287,"endHours":24.564579287045248,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:57","end":"08:16","startHours":6.945860362706202,"endHours":8.262747610598165,"quality":"inauspicious"},{"name":"Chala","start":"08:16","end":"09:35","startHours":8.262747610598165,"endHours":9.579634858490131,"quality":"neutral"},{"name":"Labha","start":"09:35","end":"10:54","startHours":9.579634858490131,"endHours":10.896522106382093,"quality":"auspicious"},{"name":"Amṛta","start":"10:54","end":"12:13","startHours":10.896522106382093,"endHours":12.21340935427406,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:32","startHours":12.21340935427406,"endHours":13.530296602166022,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.530296602166022,"endHours":14.847183850057988,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:10","startHours":14.847183850057988,"endHours":16.16407109794995,"quality":"inauspicious"},{"name":"Udveg","start":"16:10","end":"17:29","startHours":16.16407109794995,"endHours":17.480958345841916,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:29","end":"19:10","startHours":17.480958345841916,"endHours":19.16407109794995,"quality":"auspicious"},{"name":"Roga","start":"19:10","end":"20:51","startHours":19.16407109794995,"endHours":20.847183850057988,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.847183850057988,"endHours":22.530296602166025,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:13","startHours":22.530296602166025,"endHours":24.21340935427406,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:54","startHours":24.21340935427406,"endHours":25.896522106382093,"quality":"auspicious"},{"name":"Amṛta","start":"01:54","end":"03:35","startHours":25.896522106382093,"endHours":27.57963485849013,"quality":"auspicious"},{"name":"Kāla","start":"03:35","end":"05:16","startHours":27.57963485849013,"endHours":29.26274761059817,"quality":"inauspicious"},{"name":"Śubha","start":"05:16","end":"06:57","startHours":29.26274761059817,"endHours":30.945860362706203,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.945860362706202,"endHours":7.945860362706202,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.945860362706202,"endHours":8.945860362706203,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.945860362706203,"endHours":9.945860362706203,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.945860362706203,"endHours":10.945860362706203,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.945860362706203,"endHours":11.945860362706203,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.945860362706203,"endHours":12.945860362706203,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.945860362706203,"endHours":13.945860362706203,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.945860362706203,"endHours":14.945860362706203,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.945860362706203,"endHours":15.945860362706203,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.945860362706203,"endHours":16.945860362706203,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.945860362706203,"endHours":17.945860362706203,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.945860362706203,"endHours":18.945860362706203,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.945860362706203,"endHours":19.945860362706203,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.945860362706203,"endHours":20.945860362706203,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.945860362706203,"endHours":21.945860362706203,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.945860362706203,"endHours":22.945860362706203,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.945860362706203,"endHours":23.945860362706203,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.945860362706203,"endHours":24.945860362706203,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.945860362706203,"endHours":25.945860362706203,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.945860362706203,"endHours":26.945860362706203,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.945860362706203,"endHours":27.945860362706203,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.945860362706203,"endHours":28.945860362706203,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.945860362706203,"endHours":29.945860362706203,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.945860362706203,"endHours":30.945860362706203,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.497750457778654,"eotMinutes":3.7534387435564067,"ayanamsa":24.4169}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Tṛtīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"akshaya-tritiya","name":"Akṣaya Tṛtīyā","name_sanskrit":"अक्षय तृतीया","tradition":"Pan-Hindu","significance":"\"Inexhaustible third\"; auspicious for any new venture.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1},{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"parashurama-jayanti","name":"Paraśurāma Jayantī","name_sanskrit":"परशुराम जयन्ती","tradition":"Vaishnava","associated_deity":"Paraśurāma (6th daśāvatāra of Krishna)","deity_avatara_index":16,"significance":"Paraśurāma's manifestation; ciranjīvi-pratiṣṭhā. Coincides with Akṣaya Tṛtīyā.","vrata":true,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Bhāgavata 9.15-16"]},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 May 13, 2040 CE · Perth, Australia · Vidhyamitra","description":"May 13, 2040 CE for Perth, Australia: Śukla Tṛtīyā, sūryodaya 06:57, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2040-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2040-05-13","sa":"https://sa.vidhyamitra.com/city/perth/2040-05-13","hi":"https://hi.vidhyamitra.com/city/perth/2040-05-13","x-default":"https://vidhyamitra.com/city/perth/2040-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T11:51:44.078Z","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":"2026-05-15T11:51:44.078Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T11:51:44.078Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}